Coxeter groups, 2-completion, perimeter reduction and subgroup separability.

DOI10.1023/A:1022155823425zbMath1069.20028arXivmath/0203020MaRDI QIDQ1868437

Paul E. Schupp

Publication date: 27 April 2003

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0203020

zbMATH Keywords

Coxeter groupssubgroup separable groupssurface groupslocally quasiconvex groupsDehn convexityfinitely generated subgroups of finite indexquadratic time algorithmsuniform membership problem

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Residual properties and generalizations; residually finite groups (20E26) Cancellation theory of groups; application of van Kampen diagrams (20F06)

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