Reflection subgroups of reflection groups.

DOI10.1007/s10688-005-0011-yzbMath1072.20058arXivmath/0305093OpenAlexW3101362970MaRDI QIDQ2486724

Pavel Tumarkin, A. A. Felikson

Publication date: 5 August 2005

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0305093

zbMATH Keywords

subgroups of finite indexreflection groupsCoxeter polytopesfundamental chambersnumbers of facets

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Other geometric groups, including crystallographic groups (20H15) Reflection groups, reflection geometries (51F15)

Related Items (6)

On hyperbolic Coxeter n-polytopes with n + 2 facets ⋮ Hyperbolic subalgebras of hyperbolic Kac-Moody algebras ⋮ On hyperbolic Coxeter polytopes with mutually intersecting facets ⋮ On $d$-dimensional compact hyperbolic Coxeter polytopes with $d+4$ facets ⋮ Essential hyperbolic Coxeter polytopes ⋮ Reflection subgroups of Coxeter groups

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