The Small Index Property for Free Nilpotent Groups

DOI10.1080/00927872.2012.709566zbMath1358.20031arXiv1111.5635OpenAlexW2159685107MaRDI QIDQ5245141

Vladimir Tolstykh

Publication date: 2 April 2015

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

Full work available at URL: https://arxiv.org/abs/1111.5635

zbMATH Keywords

automorphismnilpotent groupssmall index property

Mathematics Subject Classification ID

Nilpotent groups (20F18) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Quasivarieties and varieties of groups (20E10)

Related Items (3)

On the outer automorphism groups of free groups. ⋮ Principal congruence subgroups in the infinite rank case ⋮ Automorphisms of Aut(A),Aa Free Abelian Group

Cites Work

• Small conjugacy classes in the automorphism groups of relatively free groups.
• Automorphisms of relatively free nilpotent groups of infinite rank
• A general isomorphism theory for linear groups
• The automorphism groups of relatively free algebras
• On elementary types of symmetric groups
• The Small Index Property for Free Groups and Relatively Free Groups
• Subgroups of small Index in infinite Symmetric Groups
• Subgroups of Infinite Symmetric Groups
• ON THE BERGMAN PROPERTY FOR THE AUTOMORPHISM GROUPS OF RELATIVELY FREE GROUPS

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