On the outer automorphism groups of free groups.

DOI10.1016/j.jalgebra.2014.08.005zbMath1312.20036OpenAlexW2002325381MaRDI QIDQ743907

Vladimir Tolstykh

Publication date: 1 October 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.08.005

zbMATH Keywords

outer automorphism groupsfree groupsouter automorphismscomplete groups: small index propertyextremal involutions

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Free nonabelian groups (20E05)

Cites Work

• Small conjugacy classes in the automorphism groups of relatively free groups.
• The automorphism groups of relatively free algebras
• Automorphisms of automorphism groups of free groups
• The Small Index Property for Free Groups and Relatively Free Groups
• Subgroups of small Index in infinite Symmetric Groups
• On the Residual Finiteness of Certain Mapping Class Groups
• Periodic automorphisms of free groups
• The Automorphism Group of a Free Group is Complete
• Automorphism sequences of free nilpotent groups of class two
• Characteristic Subgroups and Complete Automorphism Groups
• The Automorphism Tower of a Free Group
• The Small Index Property for Free Nilpotent Groups
• Some Remarks on Commutators
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