Infinite Coxeter groups are virtually indicarle

DOI10.1017/S0013091500019660zbMath0915.20018MaRDI QIDQ4400087

Daryl Cooper, Darren D. Long, Alan W. Reid

Publication date: 7 July 1999

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

zbMATH Keywords

subgroups of finite indexseparable subgroupsinfinite Coxeter groupsvirtually indicable groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Automorphisms of infinite groups (20E36) Local properties of groups (20E25)

Related Items (8)

The \(\text{FA}_n\) conjecture for Coxeter groups. ⋮ On quotients of Coxeter groups ⋮ Congruence subgroups and crystallographic quotients of small Coxeter groups ⋮ Algebraic ranks of CAT(0) groups. ⋮ Surface subgroups of Coxeter and Artin groups. ⋮ On problems related to growth, entropy, and spectrum in group theory ⋮ Anti-de Sitter strictly GHC-regular groups which are not lattices ⋮ Doubles, finiteness properties of groups, and quadratic isoperimetric inequalities

Cites Work

• Unnamed Item
• Orientation reversing involutions and the first Betti number for finite coverings of 3-manifolds
• Infinite Coxeter groups virtually surject onto \(\mathbb{Z}\)
• Subgroup separability and 3-manifold groups
• Immersions and Embeddings of Totally Geodesic Surfaces
• Finding Splittings of Groups and 3-Manifolds

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