Some metric properties of automorphisms of groups.

DOI10.1016/j.jalgebra.2005.10.001zbMath1112.20036arXivmath/0510398OpenAlexW2060417754MaRDI QIDQ855335

Vladimir Shpilrain, Alexei G. Myasnikov

Publication date: 7 December 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510398

zbMATH Keywords

curlfluxgrowthfixed pointsautomorphismsfree groupsinjective endomorphismsmetric properties

Mathematics Subject Classification ID

Geometric group theory (20F65) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05)

Related Items (4)

Growth rate of an endomorphism of a group ⋮ The subadditive ergodic theorem and generic stretching factors for free group automorphisms. ⋮ GROWTHS OF ENDOMORPHISMS OF FINITELY GENERATED SEMIGROUPS ⋮ The generalized conjugacy problem for virtually free groups

Cites Work

• Irreducible automorphisms of growth rate one
• Average-case complexity and decision problems in group theory.
• Generic properties of Whitehead's algorithm and isomorphism rigidity of random one-relator groups.
• The subadditive ergodic theorem and generic stretching factors for free group automorphisms.
• The Tits alternative for \(\text{Out}(F_n)\). I: Dynamics of exponentially-growing automorphisms
• Periodic ends, growth rates, Hölder dynamics for automorphisms of free groups

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