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Construction and characterisation of the varieties of the third row of the Freudenthal-Tits magic square
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On the generating rank and embedding rank of the hexagonic Lie incidence geometries
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Preface
(2023) INNOVATIONS IN INCIDENCE GEOMETRY - ALGEBRAIC, TOPOLOGICAL AND COMBINATORIAL. 20(2-3). p.63-64 -
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Generalized hexagons embedded in metasymplectic spaces
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A uniform characterisation of the varieties of the second row of the Freudenthal-Tits magic square over arbitrary fields
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Ovoidal maximal subspaces of polar spaces
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The geometry of the Freudenthal-Tits magic square
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Suzuki-Tits ovoids through the years
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Mixed relations for buildings of type F4
(2023) INNOVATIONS IN INCIDENCE GEOMETRY - ALGEBRAIC, TOPOLOGICAL AND COMBINATORIAL. 20(2-3). p.543-578 -
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Moufang quadrangles and affine twin buildingsof type C2
(2023) INNOVATIONS IN INCIDENCE GEOMETRY - ALGEBRAIC, TOPOLOGICAL AND COMBINATORIAL. 20(2-3). p.431-441 -
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Automorphisms and opposition in spherical buildings of exceptional type, II : Moufang hexagons
(2023) INNOVATIONS IN INCIDENCE GEOMETRY : ALGEBRAIC, TOPOLOGICAL AND COMBINATORIAL. 20(2-3). p.443-470 -
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On inclusions of exceptional long rootgeometries of type E
(2023) INNOVATIONS IN INCIDENCE GEOMETRY - ALGEBRAIC, TOPOLOGICAL AND COMBINATORIAL. 20(2-3). p.247-293 -
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Unitals with many involutory translations
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Imaginary geometries
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Parapolar spaces of infinite rank
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Finite subunitals of the Hermitian unitals
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Moufang sets generated by translations in unitals
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Strongly regular graphs
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- Journal Article
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On Severi varieties as intersections of a minimum number of quadrics
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- Journal Article
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A geometric characterization of the Hjelmslev-Moufang planes
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- Journal Article
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Shult's Haircut Theorem revised
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- Journal Article
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Buildings of exceptional type in a building of type E7
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- Journal Article
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Automorphisms and opposition in spherical buildings of exceptional type, I
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- Journal Article
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On exceptional Lie geometries
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- Journal Article
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Embeddings of unitals such that each block is a subline
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Veronese representation of projective Hjelmslev planes over some quadratic alternative algebras
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Opposition diagrams for automorphisms of large spherical buildings
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- Conference Paper
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Some combinatorial and geometric constructions of spherical buildings
(2019) Surveys in combinatorics 2019. In London Mathematical Society Lecture Note Series 456. p.237-265 -
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Opposition diagrams for automorphisms of small spherical buildings
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Veronesean representations of projective spaces over quadratic associative division algebras
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Embeddings of hermitian unitals into pappian projective planes
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Tits webs
(2019) Mini-workshop : rank one groups and exceptional algebraic groups. In Oberwolfach Reports 16(4). p.3266-3267 -
Maps related to polar spaces preserving a Weyl distance or an incidence condition
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- Journal Article
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Groups of Ree type in characteristic 3 acting on polytopes
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- Journal Article
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Split buildings of type F₄ in buildings of type E₆
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- Journal Article
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On the varieties of the second row of the split Freudenthal-Tits magic square
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50 years of finite geometry
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- Journal Article
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Distance regularity in buildings and structure constants in Hecke algebras
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- Journal Article
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Finite affine planes in projective spaces
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A non-classical unital of order four with many translations
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- Journal Article
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Universal and homogeneous embeddings of dual polar spaces of rank 3 defined over quadratic alternative division algebras
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A combinatorial characterization of the Lagrangian Grassmannian LG(3,6)(𝕂)
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- Journal Article
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Simple connectivity in polar spaces
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- Journal Article
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The combinatorics of automorphisms and opposition in generalised polygons
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Veronesean representations of Moufang planes
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- Journal Article
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Imbrex geometries
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- Journal Article
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Descent of affine buildings, I: large minimal angles
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- Journal Article
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Graphs, defined by Weyl distance or incidence, that determine a vector space
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- Journal Article
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Projective planes over 2-dimensional quadratic algebras
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Andrei Zelevinsky
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Characterizations of trialities of type Iid in buildings of type D₄
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- Journal Article
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Non-embeddable polar spaces
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Lax embeddings of the Hermitian unital
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- Conference Paper
- C1
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Projective embeddings of dual polar spaces arising from a class of alternative division rings
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Unitals admitting all translations
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- Journal Article
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Characterizations of Segre varieties
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- Journal Article
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A classification of commutative parabolic Hecke algebras
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- Journal Article
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Vertex opposition in spherical buildings
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Automorphisms and opposition in twin buildings
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- Journal Article
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The endomorphism type of certain bipartite graphs and a characterization of projective planes
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Quadric Veronesean caps
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Hermitian Veronesean caps
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Collineations of polar spaces with restricted displacements
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Generalized Veronesean embeddings of projective spaces, part II: the lax case
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- Journal Article
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Domesticity in generalized quadrangles
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- Journal Article
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Symplectic polarities of buildings of type E₆
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Compact totally disconnected Moufang buildings
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- Journal Article
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Codistances of 3-spherical buildings
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- Journal Article
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A characterization of the finite Veronesean by intersection properties
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Two-dimensional affine R-buildings defined by generalized polygons with non-discrete valuation
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- Journal Article
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Ree geometries
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- Journal Article
- A2
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Characterizations of Veronese and Segre varieties
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Local sharply transitive actions on finite generalized quadrangles
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Generalized Veronesean embeddings of projective spaces
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Domesticity in projective spaces
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Generalized polygons with non-discrete valuation defined by two-dimensional affine R-buildings
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André embeddings of affine planes
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Transitive bislim geometries of gonality 3, part II: the group theoretic cases
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Collineations and dualities of partial geometries
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Veronesean embeddings of Hermitian unitals
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- Journal Article
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- open access
Affine twin R-buildings
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Moufang sets of type F-4
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Intersections of apartments
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A characterization of the Grassmann embedding of H(q), with q even
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Generalized quadrangles and projective axes of symmetry
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On the Hall-Janko graph with 100 vertices and the near-octagon of order (2,4)
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Embeddings of projective Klingenberg planes in the projective space PG(5,K)
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Codistances in buildings
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The uniqueness of a generalized hexagon of order 3 containing a subhexagon of order (1,3)
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Some characterizations of the exceptional planar embedding of W(2)
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One-point extensions of generalized hexagons and octagons
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- Journal Article
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Semiaffine spaces
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- Journal Article
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On collineations and dualities of finite generalized polygons
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Planar and affine spaces
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The automorphism group of a class of strongly regular graphs related to Q(6, q)
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Moufang quadrangles of mixed type
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Intransitive geometries and fused amalgams
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A characterization of the natural embedding of the split Cayley hexagon H(q) in PG(6, q) by intersection numbers
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Regular partitions of (weak) finite generalized polygons
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Generalized hexagons and Singer geometries
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Geometric characterizations of finite Chevalley groups of type B-2
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Some new two-character sets in PG(5, q(2)) and a distance-2 ovoid in the generalized hexagon H(4)
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Primitive flag-transitive generalized hexagons and octagons
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The simple exceptional group G(2)(q), q even, and two-character sets
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Transitive bislim geometries of gonality 3, part I: the geometrically homogeneous cases
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On the nonexistence of certain Hughes generalized quadrangles
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Moufang lines defined by (generalized) Suzuki groups
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Common point reguli of different generalized hexagons on Q(6, q)
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Partial linear spaces built on hexagons
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Unitals in the Holz-design on 28 points
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On a characterization of the finite twisted triality hexagons using one classical ideal split Cayley subhexagon
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Combinatorial characterizations of convexity and apartments in buildings
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Embeddings of small generalized polygons
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Translation generalized quadrangles
(2006) -
Moufang sets from groups of mixed type
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Intransitive geometries
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Fuzzy projective spreads of fuzzy projective spaces
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Joint Beneluxfra Conference in Mathematics : preface
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A group theoretic approach to (0,2)-geometries
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On the uniqueness of the unipotent subgroups of some Moufang sets
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Finite Moufang generalized quadrangles
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Bi-slim flag-transitive geometries of gonality 3: Construction and classification
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Some properties of the Biggs-Smith geometry
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Meetkunde: waar komt het vandaan, en waar gaat het heen?
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Some characterizations of finite Hermitian Veroneseans
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Split BN-pairs of rank at least 2 and the uniqueness of splittings
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Codes from generalized hexagons
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A characterization of the split Cayley generalized hexagon H(q) using one subhexagon of order (1, q)
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Distance-j ovoids and related structures in generalized polygons
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Moufang-like conditions for generalized quadrangles and classification of all finite quasi-transitive generalized quadrangles
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On Ferri's characterization of the finite quadric Veronesean V-2(4)
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Generalized quadrangles with an ovoid that is translation with respect to opposite flags
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Ovoids and spreads of the generalized hexagon H(3)
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Generalized polygons in finite projective spaces
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A Holz-design in the generalized hexagon H(q)
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A half 3-Moufang quadrangle is Moufang
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Automorphisms of unitals
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A distance-2-spread of the generalized hexagon H(3)
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Sharp homogeneity in affine planes, and in some affine generalized polygons
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Maps between buildings that preserve a given Weyl distance
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Regular embeddings of generalized hexagons
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Some characterizations of Moufang generalized quadrangles
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Spreads and ovoids translation with respect to disjoint flags
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Full embeddings of the finite dual split Cayley hexagons
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Hermitian Veroneseans over finite fields
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Characterizations of the finite quadric Veroneseans V-n(2n)
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Classification of finite Veronesean caps
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A distance-2-spread of the generalized hexagon H(3)
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Generalized polygons in finite projective spaces
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Some constructions and embeddings of the Tilde geometry
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Characterizations of quadric and Hermitian Veroneseans
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Slim and bislim geometries
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Sharp homogeneity in some generalized polygons
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Affine line systems in finite-dimensional vector spaces
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Forgetful polygons as generalizations of semi-affine planes
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On the definition and some conjectures of fuzzy projective planes by Gupta and Ray, and a new definition of fuzzy building geometries
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Some remarks on Steiner systems
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Moufang polygons and irreducible spherical BN-pairs of rank 2, I
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Moufang generalized polygons
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Characterizations of generalized polygons and opposition in rank 2 twin buildings
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Ten Exceptional geometries from trivalent distance regular graphs.
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m-Clouds in generalized hexagons.
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A characterization of Q(5,q) using one subquadrangle Q(4,q).
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Characterizations of quadric and Hermitian Veroneseans over finite fields
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Regular actions on generalized polygons
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An introduction to generalized polygons
(2002) Tits buildings and the model theory of groups. In London Math. Soc. Lect. Notes Ser. 291. p.23-57 -
On a question of Arjeh Cohen: A characterization of Moufang projective planes
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BN-pairs with projective or affine lines.
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Distance-preserving maps in generalized polygons, part I : maps on flags
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On a particular class of minihypers and its applications. III. Applications
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Epimorphisms of generalized polygons, part 2 : some existence and non-existence results
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Compact ovoids in quadrangles I-III (vol 79, pg 321, 2000)
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Lax embeddings of generalized quadrangles in finite projective spaces
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Sharply 2-transitive groups of projectivities in generalized polygons
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1-twinnings of buildings
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Some constructions of small generalized polygons
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Generalized flatland
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On irreducible (B,N)-pairs of rank 2.
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Diagrams for embeddings of polygons
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Two characterizations of the Hermitian spread in the split Cayley hexagon
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On opposition in spherical buildings and twin buildings
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Two Remarks on Generalized Hexagons
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Some Combinatorial and Geometric Characterizations of the Finite Dual Classical Generalized Hexagons
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Some remarks on embeddings of the flag geometries of projective planes in finite projective spaces.
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Distance transitive generalized quadrangles of prime order.
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Het natuurlijk getal 25
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Some new upper bounds for the size of partial ovoids in slim generalized polygons and generalized hexagon of order (s, s(3)).
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Generalized quadrangles weakly embedded of degree 2 in projective space
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Classification of embeddings of the flag geometries of projective planes in finite projective spaces, part 1
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Classification of embeddings of the flag geometries of projective planes in finite projective spaces, part 3
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Classification of embeddings of the flag geometries of projective planes in finite projective spaces, part 2
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Epimorphisms of generalized polygons, part 1 : geometrical characterizations
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Simple groups of finite Morley rank and Tits buildings
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Lax embeddings of polar spaces in finite projective spaces
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On embeddings of the flag geometries of projective planes in finite projective spaces
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Characterizations by automorphism groups of some rank 3 buildings, II : a half strongly-transitive locally finite triangle building is a Bruhat-Tits building
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Characterizations by automorphism groups of some rank 3 buildings, IV : hyperbolic p-adic Moufang buildings of rank 3
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Finite generalized quadrangles as the union of few large subquadrangles
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Exceptional Moufang quadrangles of type F_4
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Generalized quadrangles weakly embedded of degree >2 in projective space
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Compact ovoids in quadrangles I : geometric constructions.
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- Journal Article
- A2
- open access
Fuzzy projective geometries from fuzzy groups
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Connectedness of opposite-flag geometries in Moufang polygons
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Some consequences of a result of Brouwer
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Characterizations for classical finite hexagons
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On certain twin buildings over tree diagrams
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On the dimensions of the root groups of full subquadrangles of Moufang quadrangles arising from algebraic groups
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A note on finite self-polar generalized hexagons and partial quadrangles
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A geometric characterization of the perfect Ree-Tits generalized octagons
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Flat lax and weak lax embeddings of finite generalized hexagons
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Translation ovoids of generalized quadrangles and hexagons.
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Generalized quadrangles weakly embedded in finite projective space
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Characterizations by automorphism groups of some rank 3 buildings, I : some properties of half strongly-transitive triangle buildings
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Groups of projectivities of generalized quadrangles.
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Fuzzy projective geometries from fuzzy vector spaces
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On finite conics
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Generalized polygons
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Ovoids and spreads arising from involutions
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Moufang affine buildings have Moufang spherical buildings at infinity
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Sub-weakly embedded singular and degenerate polar spaces
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Generalized quadrangles and the axiom of Veblen
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A geometric characterization of the perfect Suzuki-Tits ovoids
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Intersections of Hermitian and Ree ovoids in the generalized hexagon H(q)
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Hyperbolic lines in generalized polygons
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Elation generalized quadrangles of order (p, t), p prime, are classical.
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Embedded thick finite generalized hexagons in projective space
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Orthogonal, symplectic and unitary polar spaces sub-weakly embedded in projective space
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A finite generalized hexagon admitting a group acting transitively on ordered heptagons is classical
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An essay on the Ree octagons
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The nonexistence of certain regular generalized polygons
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Primitive arcs in PG(2,Q)
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A geometric construction of a class of twisted field planes by ree-tits unitals
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The classification of finite generalized quadrangles admitting a group acting transitively on ordered pentagons
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Cyclic caps in PG(3,Q)
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Some classes of rank 2 geometries
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Arcs fixed by a large cyclic group
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The geometry of traces in Ree octagons
(1995) Groups of Lie type and their geometries. In London Math. Soc. Lect. Notes Ser. 207. p.151-171 -
Half-regular and regular points in compact polygons
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Finite distance-transitive generalized polygons
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On linear representations of (α,β)-geometries
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Cyclic arcs in PG(2, Q)
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A characterization of some rank 2 incidence geometries by their automorphism group
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- Journal Article
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On flocks of infinite quadratic cones
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Generalized hexagons as amalgamations of generalized quadrangles
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Remarks on finite generalized hexagons and octagons with a point-transitive automorphism group
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Ovoids and windows in finite generalized hexagons
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On finite Moufang polygons
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Desarguesian finite generalized quadrangles are classical or dual classical
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A characterization of C2-buildings by floors
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Half Moufang implies Moufang for finite generalized quadrangles