Characterizing a free group in its automorphism group

DOI10.1016/0021-8693(90)90278-VzbMath0715.20022MaRDI QIDQ752179

Edward W. Formanek

Publication date: 1990

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

zbMATH Keywords

automorphism groupfree groupcomplete groupscharacteristic subgroupgroup of inner automorphisms

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Free nonabelian groups (20E05)

Related Items (12)

On finite generation of the Johnson filtrations ⋮ On finiteness properties of the Johnson filtrations ⋮ Effective finite generation for \([\mathrm{IA}_n,\mathrm{IA}_n\) and the Johnson kernel] ⋮ Automorphisms of groups ⋮ Small conjugacy classes in the automorphism groups of relatively free groups. ⋮ A question of B. Plotkin about the semigroup of endomorphisms of a free group ⋮ Representation stability for filtrations of Torelli groups ⋮ Low-dimensional linear representations of 𝐴𝑢𝑡𝐹_{𝑛},𝑛≥3 ⋮ Automorphisms of generalized Thompson groups ⋮ Infinitely generated free nilpotent groups: completeness of the automorphism groups ⋮ An algebraic characterization of the point-pushing subgroup ⋮ THE GROUPS OF AUTOMORPHISMS ARE COMPLETE FOR FREE BURNSIDE GROUPS OF ODD EXPONENTS n ≥ 1003

Cites Work

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• Polynomial representations of \(GL_n\)
• Periodic automorphisms of free groups
• The Automorphism Group of a Free Group is Complete
• Induced Automorphisms of Free Groups and Free Metabelian Groups
• On the Automorphisms of Free Groups and Free Nilpotent Groups
• Automorphisms of the Unimodular Group

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