On the residual finiteness and other properties of (relative) one-relator groups

DOI10.1090/S0002-9939-07-09160-5zbMath1136.20024arXiv0706.3338MaRDI QIDQ5431640

Stephen J. Pride

Publication date: 20 December 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.3338

zbMATH Keywords

asphericityone-relator groupsrelative presentationsresidual finitenesspower conjugacy problemcovering complexes2-complexes of groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Topological methods in group theory (57M07) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Residual properties and generalizations; residually finite groups (20E26)

Related Items (4)

Algorithmic problems in groups with quadratic Dehn function ⋮ Note on the residual finiteness of Artin groups ⋮ The power conjugacy problem in Higman–Thompson groups ⋮ A generalization of a power-conjugacy problem in torsion-free negatively curved groups

Cites Work

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• The residual finiteness of positive one-relator groups

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