A description of fixed subgroups of free groups.

DOI10.1007/S11401-016-1004-2zbMath1352.20024OpenAlexW2514658397MaRDI QIDQ335040

Qiang Zhang

Publication date: 2 November 2016

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-016-1004-2

zbMATH Keywords

injective endomorphismsfixed subgroupsfree groups of finite rank

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05)

Cites Work

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• An automorphism of a free group of finite rank with maximal rank fixed point subgroup fixes a primitive element
• What does a basis of F(a,b) look like?
• Train tracks and automorphisms of free groups
• On automorphism-fixed subgroups of a free group
• A description of auto-fixed subgroups in a free group.
• Endomorphisms of free groups and their fixed points
• All automorphisms of free groups with maximal rank fixed subgroups
• Test Words for Automorphisms of Free Groups

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