Groups of type L 2(q) acting on polytopes

DOI10.1515/ADVGEOM.2007.031zbMath1198.52013arXivmath/0606660OpenAlexW2090856479MaRDI QIDQ5443680

Dimitri Leemans, Egon Schulte

Publication date: 22 February 2008

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606660

zbMATH Keywords

Coxeter groupspolytopesprojective linear groups

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear algebraic groups over finite fields (20G40)

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Uses Software

• Magma

Cites Work

• An atlas of abstract regular polytopes for small groups
• Regular polyhedra related to projective linear groups
• Regular maps constructed from linear groups
• Chirality and projective linear groups
• Chiral polytopes from hyperbolic honeycombs
• The Magma algebra system. I: The user language
• Quotients of a universal locally projective polytope of type \(\{5,3,5\}\)
• An atlas of small regular abstract polytopes
• Regular 4‐polytopes related to general orthogonal groups
• Almost simple groups of Suzuki type acting on polytopes