Parabolic subgroups of finite index in Coxeter groups.

DOI10.1016/S0022-4049(01)00068-8zbMath1055.20033arXivmath/0502268MaRDI QIDQ1602651

Tetsuya Hosaka

Publication date: 24 June 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502268

zbMATH Keywords

Coxeter groupsminimal parabolic subgroupssubgroups of finite indexirreducible Coxeter systems

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (5)

Simultaneous core multipartitions ⋮ CAT(0) groups and Coxeter groups whose boundaries are scrambled sets. ⋮ Hyperbolic right-angled Coxeter groups with boundaries as a Sierpiński carpet and a Menger curve ⋮ Parabolic subgroups of Coxeter groups acting by reflections on CAT(0) spaces. ⋮ Minimality of the boundary of a right-angled Coxeter system

Cites Work

• Groups generated by reflections and aspherical manifolds not covered by Euclidean space
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• The cohomology of a Coxeter group with group ring coefficients
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