Almost simple groups with socle PSL\((2,q)\) acting on abstract regular polytopes

DOI10.1016/j.jalgebra.2014.10.020zbMath1304.52017OpenAlexW1972681599MaRDI QIDQ479765

Julie De Saedeleer, Thomas Connor, Dimitri Leemans

Publication date: 5 December 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.10.020

zbMATH Keywords

abstract regular polytopesalmost simple groups of PSL\((2,q)\) typestring C-groupsthin regular geometries

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (10)

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 ⋮ On regular polytopes of 2-power order ⋮ C-groups of \(\mathrm{PSL}(2,q)\) and \(\mathrm{PGL}(2,q)\). ⋮ On the classification of binary self-dual codes admitting imprimitive rank 3 permutation groups ⋮ 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

Uses Software

• Magma

Cites Work

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