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Groups of Ree type in characteristic 3 acting on polytopes

(2018) ARS MATHEMATICA CONTEMPORANEA. 14(2). p.209-226
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Abstract
Every Ree group R(q), with q not equal 3 an odd power of 3, is the automorphism group of an abstract regular polytope, and any such polytope is necessarily a regular polyhedron (a map on a surface). However, an almost simple group G with R(q) < G <= Aut(R(q)) is not a C-group and therefore not the automorphism group of an abstract regular polytope of any rank.
Keywords
Abstract regular polytopes, string C-groups, small Ree groups, permutation groups

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Citation

Please use this url to cite or link to this publication:

MLA
Leemans, Dimitri, et al. “Groups of Ree Type in Characteristic 3 Acting on Polytopes.” ARS MATHEMATICA CONTEMPORANEA, vol. 14, no. 2, 2018, pp. 209–26.
APA
Leemans, D., Schulte, E., & Van Maldeghem, H. (2018). Groups of Ree type in characteristic 3 acting on polytopes. ARS MATHEMATICA CONTEMPORANEA, 14(2), 209–226.
Chicago author-date
Leemans, Dimitri, Egon Schulte, and Hendrik Van Maldeghem. 2018. “Groups of Ree Type in Characteristic 3 Acting on Polytopes.” ARS MATHEMATICA CONTEMPORANEA 14 (2): 209–26.
Chicago author-date (all authors)
Leemans, Dimitri, Egon Schulte, and Hendrik Van Maldeghem. 2018. “Groups of Ree Type in Characteristic 3 Acting on Polytopes.” ARS MATHEMATICA CONTEMPORANEA 14 (2): 209–226.
Vancouver
1.
Leemans D, Schulte E, Van Maldeghem H. Groups of Ree type in characteristic 3 acting on polytopes. ARS MATHEMATICA CONTEMPORANEA. 2018;14(2):209–26.
IEEE
[1]
D. Leemans, E. Schulte, and H. Van Maldeghem, “Groups of Ree type in characteristic 3 acting on polytopes,” ARS MATHEMATICA CONTEMPORANEA, vol. 14, no. 2, pp. 209–226, 2018.
@article{8613734,
  abstract     = {{Every Ree group R(q), with q not equal 3 an odd power of 3, is the automorphism group of an abstract regular polytope, and any such polytope is necessarily a regular polyhedron (a map on a surface). However, an almost simple group G with R(q) < G <= Aut(R(q)) is not a C-group and therefore not the automorphism group of an abstract regular polytope of any rank.}},
  author       = {{Leemans, Dimitri and Schulte, Egon and Van Maldeghem, Hendrik}},
  issn         = {{1855-3966}},
  journal      = {{ARS MATHEMATICA CONTEMPORANEA}},
  keywords     = {{Abstract regular polytopes,string C-groups,small Ree groups,permutation groups}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{209--226}},
  title        = {{Groups of Ree type in characteristic 3 acting on polytopes}},
  volume       = {{14}},
  year         = {{2018}},
}

Web of Science
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