All automorphisms of the 3-nilpotent free group of countably infinite rank can be lifted

DOI10.1016/0021-8693(88)90052-XzbMath0653.20028OpenAlexW2044950897MaRDI QIDQ1107626

Piotr Włodzimierz Gawron, Olga Macedońska

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90052-x

zbMATH Keywords

automorphismsfree groupscharacteristic subgroupsfree nilpotent groups of class 3

Mathematics Subject Classification ID

Nilpotent groups (20F18) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Free nonabelian groups (20E05)

Related Items (2)

Automorphisms of relatively free nilpotent groups of infinite rank ⋮ Automorphisms of groups

Cites Work

• On varieties of groups and their associated near-rings
• Aspherical 2-complexes
• [https://portal.mardi4nfdi.de/wiki/Publication:3695463 Aut(F) →Aut(F/F � � ) is Surjective for Free Group F of Rank 4]
• Note on Automorphisms of a Free Abelian Group
• Classes of Automorphisms of Free Groups of Infinite Rank
• Induced Automorphisms of Free Groups and Free Metabelian Groups
• On the Automorphisms of Free Groups and Free Nilpotent Groups
• Varieties of groups
• On automorphisms of relatively free groups

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