An automorphism of a free group of finite rank with maximal rank fixed point subgroup fixes a primitive element

DOI10.1016/0022-4049(93)90011-HzbMath0787.20022WikidataQ127207736 ScholiaQ127207736MaRDI QIDQ686019

Edward C. Turner, Donald J. Collins

Publication date: 12 May 1994

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

free productfixed point subgroupfree group of finite rankKurosh rankrelative train track maps

Mathematics Subject Classification ID

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

Related Items (5)

Fixed Subgroups are Compressed in Free Groups ⋮ A description of fixed subgroups of free groups. ⋮ All automorphisms of free groups with maximal rank fixed subgroups ⋮ A dendrological proof of the Scott conjecture for automorphisms of free groups ⋮ Maximal index automorphisms of free groups with no attracting fixed points on the boundary are Dehn twists.

Cites Work

• Topology of finite graphs
• Non-negative matrices and Markov chains. 2nd ed
• Train tracks and automorphisms of free groups
• Efficient representatives for automorphisms of free products

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