ONE-RELATOR QUOTIENTS OF GRAPH PRODUCTS

DOI10.1142/S0218196713500239zbMath1290.20026arXiv1204.5311OpenAlexW3103773015MaRDI QIDQ2852581

Aditi Kar, Yago Antolín

Publication date: 9 October 2013

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.5311

zbMATH Keywords

word problemFreiheitssatzgraph productslocally indicable groupsright-angled Artin groupsone-relator quotients

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) 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)

Related Items

One-relator quotients of right-angled Artin groups, A Magnus extension for locally indicable groups

Cites Work

• Subgroups of graph groups
• Equations over groups, and groups with one defining relation
• The algorithmic theory of polycyclic-by-finite groups
• Free products of locally indicable groups with a single relator
• FOLDINGS, GRAPHS OF GROUPS AND THE MEMBERSHIP PROBLEM