Polytopes with groups of type PGL_2(q)
From MaRDI portal
Publication:3552329
DOI10.26493/1855-3974.102.290zbMath1195.52003arXiv0909.1991OpenAlexW1899495372MaRDI QIDQ3552329
Publication date: 15 April 2010
Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0909.1991
(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)
Related Items
Chiral polyhedra arising from almost simple groups with socle \(PSL(2,q)\) ⋮ Groups of Ree type in characteristic 3 acting on polytopes ⋮ Projective linear groups as automorphism groups of chiral polytopes ⋮ The intersection condition for regular polytopes ⋮ C-groups of Suzuki type ⋮ Maniplexes with automorphism group \(\mathrm{PSL}(2,q)\) ⋮ On chiral polytopes having a group PSL(3,q)$\mathrm{PSL}(3,q)$ as automorphism group ⋮ On regular polytopes of 2-power order ⋮ On the number of abstract regular polytopes whose automorphism group is a Suzuki simple group \(Sz(q)\) ⋮ Polytopes of high rank for the alternating groups ⋮ Polytopes of high rank for the symmetric groups ⋮ Almost simple groups with socle PSL\((2,q)\) acting on abstract regular polytopes ⋮ C-groups of \(\mathrm{PSL}(2,q)\) and \(\mathrm{PGL}(2,q)\). ⋮ An extension of the classification of high rank regular polytopes ⋮ Polytopes of large rank for \(\mathrm{PSL}(4,\mathbb{F}_q)\) ⋮ String C-group representations of alternating groups ⋮ String C-group representations of almost simple groups: A survey ⋮ Chiral Polytopes and Suzuki Simple Groups