Residual finiteness of certain 1-relator groups: extensions of results of Gilbert Baumslag

DOI10.1017/S0305004100062782zbMath0559.20019OpenAlexW2120793043MaRDI QIDQ5185245

C. Y. Tang, R. B. J. T. Allenby

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1017/s0305004100062782

zbMATH Keywords

wordsgeneratorsresidually finitesubgroup separability1-relator groupsgeneralized free product

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Automorphisms of infinite groups (20E36) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (5)

The isomorphism problem for a family of one-relator groups ⋮ The residual finiteness of a class of 1-relator groups ⋮ On the residual finiteness and other properties of (relative) one-relator groups ⋮ Conjugacy and Other Properties of One-Relator Groups ⋮ (Cyclic) subgroup separability of HNN and split extensions

Cites Work

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• The residual finiteness of some one-relator groups with torsion
• Residually finite one-relator groups with torsion
• Über Gruppen mit einer definierenden Relation
• The Residual Finiteness of Certain One-Relator Groups
• Some One-Relator Hopfian Groups
• Residually finite one-relator groups
• Residual finiteness of a class of knot groups
• Some results on one-relator groups
• Conjugacy Separability of Certain Free Products with Amalgamation
• Nonresidually Finite One-Relator Groups
• On the Residual Finiteness of Generalised Free Products of Nilpotent Groups

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