The outer automorphism groups of two-generator, one-relator groups with torsion

DOI10.1090/proc/13063zbMath1353.20018arXiv1206.2765OpenAlexW2949449257MaRDI QIDQ2816994

Alan D. Logan

Publication date: 26 August 2016

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

Full work available at URL: https://arxiv.org/abs/1206.2765

zbMATH Keywords

one-relator groupsisomorphism problemends of groupsNielsen equivalence classes

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Automorphism groups of groups (20F28) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67)

Cites Work

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• The isomorphism problem for all hyperbolic groups.
• A spelling theorem for staggered generalized 2-complexes, with applications
• Outer automorphism groups of certain 1-relator groups.
• Residual finiteness of outer automorphism groups of certain 1-relator groups.
• Two-generated groups acting on trees
• On the structure of two-generated hyperbolic groups
• Das Identitätsproblem für Gruppen mit einer definierenden Relation
• Combinatorial group theory.
• The centre of groups with one defining relator
• Automorphisms of hyperbolic groups and graphs of groups.
• The JSJ-decompositions of one-relator groups with torsion.
• Presentations of the Automorphism Group of a Free Product
• The Isomorphism Problem for Two-Generator One-Relator Groups with Torsion is Solvable
• The Two-Generator Subgroups of One-Relator Groups with Torsion
• Finite groups of outer automorphisms of free groups
• Hyperbolic groups and free constructions
• Classification of automorphisms of the free group of rank 2 by ranks of fixed-point subgroups
• Tree actions of automorphism groups
• Non-left-orderable surgeries and generalized Baumslag–Solitar relators
• The soluble subgroups of a one-relator group with torsion
• Virtually splitting the map from $\operatorname {Aut}(G)$ to $\operatorname {Out}(G)$
• Subgroups of HNN Groups and Groups with one Defining Relation
• On One-Relator Groups Having Elements of Finite Order
• The Free Product of Two Groups with a Malnormal Amalgamated Subgroup

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