The fixed group of an automorphism of a word hyperbolic group is rational

DOI10.1007/BF01231328zbMath0793.20033MaRDI QIDQ1209129

Walter D. Neumann

Publication date: 16 May 1993

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144046

zbMATH Keywords

quasiconvexityword hyperbolic groupsautomorphismsautomatic structuresfixed subgroupsgeometric finitenessquasi-isometric homomorphismsrationality of subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Automorphisms of infinite groups (20E36) Discontinuous groups of transformations (57S30)

Related Items (3)

Coarse-median preserving automorphisms ⋮ Explicit bounds for fixed subgroups of endomorphisms of free products ⋮ Quasiconvexity of the fixed-point set of an automorphism of a hyperbolic group

Cites Work

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• Automorphisms of free groups and their fixed points
• Points fixes des automorphismes de groupe hyperbolique. (Fixed points of automorphisms of the hyperbolic group)
• Rational subgroups of biautomatic groups
• Fixed points of automorphisms of free groups
• EQUIVALENT AUTOMATIC STRUCTURES AND THEIR BOUNDARIES

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