Outer automorphism groups of certain 1-relator groups.

DOI10.1007/S11425-010-3085-9zbMath1209.20030OpenAlexW2077082121MaRDI QIDQ989804

C. Y. Tang, Goansu Kim

Publication date: 23 August 2010

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-3085-9

zbMATH Keywords

generalized free productsouter automorphism groupsresidually finite groupsconjugacy separable groups1-relator groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Automorphism groups of groups (20F28) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26)

Related Items (5)

Class-preserving automorphisms of certain HNN extensions ⋮ Unnamed Item ⋮ The outer automorphism groups of two-generator, one-relator groups with torsion ⋮ Residual finiteness of outer automorphism groups of certain 1-relator groups. ⋮ Class-preserving automorphisms of certain HNN extensions.

Cites Work

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• On the Residual Finiteness of Certain Mapping Class Groups
• A RESIDUALLY FINITE VERSION OF RIPS'S CONSTRUCTION
• RESIDUAL FINITENESS OF OUTER AUTOMORPHISM GROUPS OF FINITELY GENERATED NON-TRIANGLE FUCHSIAN GROUPS
• Automorphism Groups of Residually Finite Groups
• Residually finite one-relator groups
• Conjugacy Separability of Certain Fuchsian Groups
• Residual finiteness of outer automorphism groups of certain pinched 1-relator groups

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