Almost simple groups of Suzuki type acting on polytopes
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Publication:3419951
DOI10.1090/S0002-9939-06-08448-6zbMath1114.52009OpenAlexW1561995188MaRDI QIDQ3419951
Publication date: 1 February 2007
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08448-6
automorphism groupsalmost simple groupsabstract regular polytopesstring C-groupsthin regular geometriesSuzuki simple groups
(n)-dimensional polytopes (52B11) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Simple groups: alternating groups and groups of Lie type (20D06)
Related Items (17)
Chiral polyhedra arising from almost simple groups with socle \(PSL(2,q)\) ⋮ On the rank of Suzuki polytopes: an answer to Hubard and Leemans ⋮ Groups of Ree type in characteristic 3 acting on polytopes ⋮ Projective linear groups as automorphism groups of chiral polytopes ⋮ C-groups of Suzuki type ⋮ On regular polytopes of 2-power order ⋮ On the number of abstract regular polytopes whose automorphism group is a Suzuki simple group \(Sz(q)\) ⋮ Almost simple groups with socle PSL\((2,q)\) acting on abstract regular polytopes ⋮ ABSTRACT REGULAR POLYTOPES FOR THE O'NAN GROUP ⋮ C-groups of \(\mathrm{PSL}(2,q)\) and \(\mathrm{PGL}(2,q)\). ⋮ Groups of type L 2(q) acting on polytopes ⋮ An extension of the classification of high rank regular polytopes ⋮ String C-group representations of alternating groups ⋮ String C-group representations of almost simple groups: A survey ⋮ Unnamed Item ⋮ On Pairs of Commuting Involutions in Sym(n) and Alt(n) ⋮ Chiral Polytopes and Suzuki Simple Groups
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