On the dynamics and the fixed subgroup of a free group automorphism

DOI10.1007/BF01393699zbMath0678.57001OpenAlexW2063916249MaRDI QIDQ1124168

Martin Lustig, Marshall M. Cohen

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/143690

zbMATH Keywords

automorphism group of a free groupfixed points of automorphisms of free groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Relations of low-dimensional topology with graph theory (57M15) Fundamental group, presentations, free differential calculus (57M05) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (10)

Thompson-like groups, Reidemeister numbers, and fixed points ⋮ Fixed point indices and fixed words at infinity of selfmaps of graphs. II ⋮ Twisted conjugacy in big mapping class groups ⋮ Coarse-median preserving automorphisms ⋮ Free group automorphisms with parabolic boundary orbits. ⋮ Algorithmic problems for free-Abelian times free groups. ⋮ An index for counting fixed points of automorphisms of free groups ⋮ Automorphisms of groups ⋮ Most automorphisms of a hyperbolic group have very simple dynamics ⋮ A dendrological proof of the Scott conjecture for automorphisms of free groups

Cites Work

• Unnamed Item
• Moduli of graphs and automorphisms of free groups
• Automorphisms of free groups have finitely generated fixed point sets
• Fixed points of automorphisms of free groups
• Automorphisms of the free group of rank two without finite orbits
• Topologically Unrealizable Automorphisms of Free Groups

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