On Shephard groups with large triangles

DOI10.1515/GCC.2010.001zbMath1253.20043arXiv0901.0094MaRDI QIDQ3585194

Uri Weiss

Publication date: 19 August 2010

Published in: Groups – Complexity – Cryptology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.0094

zbMATH Keywords

Coxeter groupsArtin groupsgenerators and relationsvan Kampen diagramsShephard groupsArtin relationsbiautomaticityderived diagramssmall-cancellation conditions

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Cites Work

• Artin groups and infinite Coxeter groups
• Artin groups of finite type are biautomatic
• A finiteness property and an automatic structure for Coxeter groups
• Artin groups of extra-large type are biautomatic
• Coxeter Groups act on CAT(0) cube complexes
• ON BIAUTOMATICITY OF NON-HOMOGENOUS SMALL-CANCELLATION GROUPS

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