The Isomorphism Problem for Two-Generator One-Relator Groups with Torsion is Solvable

DOI10.2307/1997454zbMath0356.20037OpenAlexW4252226956MaRDI QIDQ4128987

Stephen J. Pride

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/1997454

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Automorphisms of infinite groups (20E36) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

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The Two-Generator Subgroups of One-Relator Groups with Torsion, A Quick Test for Nonisomorphism of One-Relator Groups, The JSJ-decompositions of one-relator groups with torsion., Generating pairs and group actions, One-relator groups and the lower central series. II: Invariants of one- relator groups, One-relator groups and the lower central series. I: The splitting isomorphism, Infinite groups, The agrarian polytope of two‐generator one‐relator groups, The B B Newman spelling theorem, The isomorphism problem for all hyperbolic groups., Genericity, the Arzhantseva-Ol'shanskii method and the isomorphism problem for one-relator groups., Generators of the free product with amalgamation of two infinite cyclic groups, Über Gruppen mit einer definierenden Relation, On cancellations in HNN-groups, Anwendungen der Nielsenschen Kürzungsmethode in Gruppen mit einer definierenden Relation, Bemerkungen zu einer Arbeit von H. Zieschang, On a class of one-relator groups with torsion, Die Nielsenäquivalenzklassen der metabelsch gemachten Torusknotengruppen, The outer automorphism groups of two-generator, one-relator groups with torsion, Commutators, generators and conjugacy equations in groups, Submodules of free Lie rings, Model-theoretic and algorithmic questions in group theory

Cites Work

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• Some finitely presented subgroups of the automorphism group of a free group
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• On the Generation of One-Relator Groups
• On one relator groups and HNN extensions
• The soluble subgroups of a one-relator group with torsion
• Sq-Universality in Hnn Groups and One Relator Groups
• Some results on one-relator groups