On chiral polytopes having a group PSL(3,q)$\mathrm{PSL}(3,q)$ as automorphism group

DOI10.1112/jlms.12569zbMath1526.20023arXiv2005.05746OpenAlexW4220892812MaRDI QIDQ6133949

Dimitri Leemans, Unnamed Author

Publication date: 21 August 2023

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.05746

zbMATH Keywords

automorphismregular polytopechiral polytope

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Finite simple groups and their classification (20D05) Symmetry properties of polytopes (52B15)

Cites Work

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• Polytopes with groups of type PGL_2(q)
• The Finite Simple Groups
• Abstract Regular Polytopes
• Two atlases of abstract chiral polytopes for small groups
• Strong map-symmetry of SL(3,K) and PSL(3,K) for every finite field K
• REGULAR HYPERMAPS OVER PROJECTIVE LINEAR GROUPS
• Chiral polyhedra and finite simple groups
• Groups of type L ₂(q) acting on polytopes
• The Representations of GL(3,q), GL(4,q), PGL(3,q), and PGL(4,q)

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