Bounded rank subgroups of Coxeter groups, Artin groups and one-relator groups with torsion

DOI10.1112/S0024611503014345zbMath1070.20048arXivmath/0201106OpenAlexW2001355211MaRDI QIDQ4460734

Paul E. Schupp, Ilya Kapovich

Publication date: 29 March 2004

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

Full work available at URL: https://arxiv.org/abs/math/0201106

zbMATH Keywords

Coxeter groupsArtin groupsquasiconvex subgroupssubgroup separabilitysmall cancellationfinite 2-completions

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (6)

Unnamed Item ⋮ STALLINGS FOLDINGS AND SUBGROUPS OF AMALGAMS OF FINITE GROUPS ⋮ FREELY INDECOMPOSABLE GROUPS ACTING ON HYPERBOLIC SPACES ⋮ On the freeness problem in Coxeter groups of extra large type. ⋮ Genericity, the Arzhantseva-Ol'shanskii method and the isomorphism problem for one-relator groups. ⋮ A Freiheitssatz for Whitehead Graphs of One-Relator Groups with Small Cancellation

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