The Word Problem for Pride Groups

DOI10.1080/00927872.2012.731620zbMath1291.20031OpenAlexW2034159740MaRDI QIDQ5413966

Peter John Davidson

Publication date: 2 May 2014

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

Full work available at URL: https://strathprints.strath.ac.uk/57660/

zbMATH Keywords

Coxeter groupsArtin groupsword problemDehn functionsgeneralized triangle groupsgeneralized tetrahedron groupsfinitely presented Pride groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Braid groups; Artin groups (20F36) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Cites Work

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• Artin groups of finite type are biautomatic
• The geometry of the word problem for finitely generated groups.
• The diagrammatic asphericity of groups given by presentations in which each defining relator involves exactly two types of generators
• The word problem for Artin groups of FC type
• Combinatorial group theory.
• Les immeubles des groupes de tresses généralises
• Groups with Presentations in Which Each Defining Relator Involves Exactly Two Generators
• On a certain class of group presentations
• Amalgamated sums of groups
• Second order Dehn functions of Pride groups
• The Tits alternative for generalized tetrahedron groups

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