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Moufang quadrangles and affine twin buildingsof type C2

Bernhard Mühlherr and Hendrik Van Maldeghem (UGent)
(2023) INNOVATIONS IN INCIDENCE GEOMETRY - ALGEBRAIC, TOPOLOGICAL AND COMBINATORIAL. 20(2-3). p.431-441
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Abstract
We prove a group-theoretic criterion in terms of root groups for two subquadrangles Γ1,Γ3 of a Moufang quadrangle Γ to arise from a Moufang twin building Δ of type ˜C2 as two adjacent residues of distinct special type, naturally embedded in the building at infinity of Δ, which is contained in Γ.
Keywords
Moufang quadrangles, twin buildings, Moufang buildings, Moufang quadrangles, twin buildings, Moufang buildings

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MLA
Mühlherr, Bernhard, and Hendrik Van Maldeghem. “Moufang Quadrangles and Affine Twin Buildingsof Type C2.” INNOVATIONS IN INCIDENCE GEOMETRY - ALGEBRAIC, TOPOLOGICAL AND COMBINATORIAL, vol. 20, no. 2–3, 2023, pp. 431–41, doi:10.2140/iig.2023.20.431.
APA
Mühlherr, B., & Van Maldeghem, H. (2023). Moufang quadrangles and affine twin buildingsof type C2. INNOVATIONS IN INCIDENCE GEOMETRY - ALGEBRAIC, TOPOLOGICAL AND COMBINATORIAL, 20(2–3), 431–441. https://doi.org/10.2140/iig.2023.20.431
Chicago author-date
Mühlherr, Bernhard, and Hendrik Van Maldeghem. 2023. “Moufang Quadrangles and Affine Twin Buildingsof Type C2.” INNOVATIONS IN INCIDENCE GEOMETRY - ALGEBRAIC, TOPOLOGICAL AND COMBINATORIAL 20 (2–3): 431–41. https://doi.org/10.2140/iig.2023.20.431.
Chicago author-date (all authors)
Mühlherr, Bernhard, and Hendrik Van Maldeghem. 2023. “Moufang Quadrangles and Affine Twin Buildingsof Type C2.” INNOVATIONS IN INCIDENCE GEOMETRY - ALGEBRAIC, TOPOLOGICAL AND COMBINATORIAL 20 (2–3): 431–441. doi:10.2140/iig.2023.20.431.
Vancouver
1.
Mühlherr B, Van Maldeghem H. Moufang quadrangles and affine twin buildingsof type C2. INNOVATIONS IN INCIDENCE GEOMETRY - ALGEBRAIC, TOPOLOGICAL AND COMBINATORIAL. 2023;20(2–3):431–41.
IEEE
[1]
B. Mühlherr and H. Van Maldeghem, “Moufang quadrangles and affine twin buildingsof type C2,” INNOVATIONS IN INCIDENCE GEOMETRY - ALGEBRAIC, TOPOLOGICAL AND COMBINATORIAL, vol. 20, no. 2–3, pp. 431–441, 2023.
@article{01HWD2GPJGK46YNQJ2DZYNZ4K5,
  abstract     = {{We prove a group-theoretic criterion in terms of root groups for two subquadrangles Γ1,Γ3 of a Moufang quadrangle Γ to arise from a Moufang twin building Δ of type ˜C2 as two adjacent residues of distinct special type, naturally embedded in the building at infinity of Δ, which is contained in Γ.}},
  author       = {{Mühlherr, Bernhard and Van Maldeghem, Hendrik}},
  issn         = {{2640-7337}},
  journal      = {{INNOVATIONS IN INCIDENCE GEOMETRY - ALGEBRAIC, TOPOLOGICAL AND COMBINATORIAL}},
  keywords     = {{Moufang quadrangles, twin buildings, Moufang buildings,Moufang quadrangles,twin buildings,Moufang buildings}},
  language     = {{eng}},
  number       = {{2-3}},
  pages        = {{431--441}},
  title        = {{Moufang quadrangles and affine twin buildingsof type C2}},
  url          = {{http://doi.org/10.2140/iig.2023.20.431}},
  volume       = {{20}},
  year         = {{2023}},
}
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