Highest rank of a polytope for An

DOI10.1112/plms.12039zbMath1381.20011arXiv1605.09173OpenAlexW3124615800MaRDI QIDQ5357182

Mark Mixer, Peter J. Cameron, Maria Elisa Fernandes, Dimitri Leemans

Publication date: 14 September 2017

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.09173

zbMATH Keywords

alternating groupabstract polytopesalmost simple groupstring groupfracture graph

Mathematics Subject Classification ID

(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 (13)

Locally spherical hypertopes from generalised cubes ⋮ Groups of Ree type in characteristic 3 acting on polytopes ⋮ Projective linear groups as automorphism groups of chiral polytopes ⋮ A rank augmentation theorem for rank three string C-group representations of the symmetric groups ⋮ On regular polytopes of 2-power order ⋮ On the Schläfli symbol of chiral extensions of polytopes ⋮ Orthogonal groups in characteristic 2 acting on polytopes of high rank ⋮ Faithful permutation representations of toroidal regular maps ⋮ An extension of the classification of high rank regular polytopes ⋮ String C-group representations of alternating groups ⋮ Existence of regular 3-polytopes of order \(2^n\) ⋮ String C-group representations of almost simple groups: A survey ⋮ The Degrees of Regular Polytopes of Type [4, 4, 4]

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