All automorphisms of free groups with maximal rank fixed subgroups

DOI10.1017/S0305004100074466zbMath0849.20018MaRDI QIDQ4875089

Edward C. Turner, Donald J. Collins

Publication date: 3 November 1996

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

zbMATH Keywords

free productsautomorphismsfree groupsfreely indecomposable groupsmaximal rankfixed subgroupsmaximal Kurosh rankright layered bases

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (13)

Intersections of automorphism fixed subgroups in the free group of rank three. ⋮ A description of fixed subgroups of free groups. ⋮ Knit products of some groups and their applications. ⋮ Counting growth types of automorphisms of free groups. ⋮ Examples of retracts in free groups that are not the fixed subgroup of any automorphism. ⋮ On fixed subgroups of maximal rank ⋮ An index for counting fixed points of automorphisms of free groups ⋮ A list of applications of Stallings automata ⋮ Subgroup separability of HNN-extensions with Abelian base group ⋮ On several problems about automorphisms of the free group of rank two. ⋮ On automorphism-fixed subgroups of a free group ⋮ Supports of derivations, free factorizations, and ranks of fixed subgroups in free groups ⋮ Maximal index automorphisms of free groups with no attracting fixed points on the boundary are Dehn twists.

Cites Work

• An automorphism of a free group of finite rank with maximal rank fixed point subgroup fixes a primitive element
• Decompositions of free groups
• Train tracks and automorphisms of free groups
• Fixed Subgroups of Homomorphisms of Free Groups
• Periodic automorphisms of free groups

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