Locally non-spherical Artin groups

DOI10.1006/jabr.1997.7229zbMath0901.20025OpenAlexW2050557236MaRDI QIDQ1383945

Andrew Chermak

Publication date: 22 November 1998

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7229

zbMATH Keywords

relationsword problemtreeshyperbolic isometriesCoxeter matriceslocally non-spherical Artin groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) 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) Groups acting on trees (20E08)

Related Items

An introduction to right-angled Artin groups., Generalized small cancellation conditions, non-positive curvature and diagrammatic reducibility, A convergence theorem for \(\Lambda\)-trees, Metric systolicity and two-dimensional Artin groups, The mysterious geometry of Artin groups, The word problem for Artin groups of FC type, PREGARSIDE MONOIDS AND GROUPS, PARABOLICITY, AMALGAMATION, AND FC PROPERTY

Cites Work

• Artin groups and infinite Coxeter groups
• Artin groups of finite type are biautomatic
• A convergence theorem for \(\Lambda\)-trees
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