On the number of abstract regular polytopes whose automorphism group is a Suzuki simple group \(Sz(q)\)

DOI10.1016/j.jcta.2010.01.001zbMath1229.52009OpenAlexW2007143756MaRDI QIDQ1957979

Ann Kiefer, Dimitri Leemans

Publication date: 27 September 2010

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2010.01.001

zbMATH Keywords

Möbius inversionabstract regular polytopesstring C-groupsSuzuki simple groups

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Symmetry properties of polytopes (52B15)

Related Items (12)

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 ⋮ The intersection condition for regular polytopes ⋮ C-groups of Suzuki type ⋮ ABSTRACT REGULAR POLYTOPES FOR THE O'NAN GROUP ⋮ C-groups of \(\mathrm{PSL}(2,q)\) and \(\mathrm{PGL}(2,q)\). ⋮ An extension of the classification of high rank regular polytopes ⋮ String C-group representations of almost simple groups: A survey ⋮ On Pairs of Commuting Involutions in Sym(n) and Alt(n) ⋮ Chiral Polytopes and Suzuki Simple Groups

Cites Work

• Unnamed Item
• An atlas of abstract regular polytopes for small groups
• Ovoides et groupes de Suzuki
• The rank 2 geometries of the simple Suzuki groups \(Sz(q)\)
• Groups related to compact Riemann surfaces
• Almost simple groups of Suzuki type acting on polytopes
• Polytopes with groups of type PGL_2(q)
• Abstract Regular Polytopes
• REGULAR HYPERMAPS OVER PROJECTIVE LINEAR GROUPS
• Groups of type L ₂(q) acting on polytopes
• On a class of doubly transitive groups

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