Inversion is Possible in Groups with no Periodic Automorphisms

DOI10.1017/S0013091514000388zbMath1337.20030OpenAlexW2513478825MaRDI QIDQ5743617

Hamish Short, Martin R. Bridson

Publication date: 5 February 2016

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

Full work available at URL: https://doi.org/10.1017/s0013091514000388

zbMATH Keywords

hyperbolic groupsHNN-extensionscomplete groupsgroups without periodic automorphismstorsion-free automorphism groups

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) 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

• Isometry transformations of hyperbolic 3-manifolds
• Quasiconvex subgroups of negatively curved groups
• Structure and rigidity in (Gromov) hyperbolic groups and discrete groups in rank \(1\) Lie groups. II
• Embeddings into hopfian groups
• Finite groups and hyperbolic manifolds
• On asymmetric hyperbolic manifolds

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