Reflection groups and polytopes over finite fields. I.

DOI10.1016/j.aam.2003.11.002zbMath1065.20051OpenAlexW2169101286MaRDI QIDQ1883381

Egon Schulte, Barry Monson

Publication date: 12 October 2004

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2003.11.002

zbMATH Keywords

reflection groupsabstract regular polytopescrystallographic Coxeter groupsirreducible Coxeter groups

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Other geometric groups, including crystallographic groups (20H15) Reflection groups, reflection geometries (51F15)

Related Items (10)

Three-dimensional classical groups acting on polytopes ⋮ Semiregular polytopes and amalgamated C-groups ⋮ Reflection groups and polytopes over finite fields. III. ⋮ Reflection groups and polytopes over finite fields. II. ⋮ Orthogonal groups in characteristic 2 acting on polytopes of high rank ⋮ Locally toroidal polytopes and modular linear groups ⋮ Classification of the finite \(n\)-generator transvection groups over \(\mathbb Z_2\). ⋮ Reflection fusion categories ⋮ Rank reduction of string C-group representations ⋮ String C-group representations of almost simple groups: A survey

Uses Software

• GAP

Cites Work

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