Automorphisms of relatively free nilpotent groups of infinite rank

DOI10.1016/0021-8693(89)90074-4zbMath0674.20017OpenAlexW2144759015MaRDI QIDQ1121383

Olga Macedońska, Roger M. Bryant

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90074-4

zbMATH Keywords

tame automorphismscharacteristic subgroupfree group of infinite rankinduced by automorphisms

Mathematics Subject Classification ID

Nilpotent groups (20F18) Automorphisms of infinite groups (20E36) Quasivarieties and varieties of groups (20E10)

Related Items

Automorphisms of free metabelian groups of infinite rank ⋮ Automorphisms of a free group of infinite rank ⋮ GENERALIZED PRESENTATIONS OF INFINITE GROUPS, IN PARTICULAR OF Aut(F_ω) ⋮ Automorphisms of groups ⋮ Principal congruence subgroups in the infinite rank case ⋮ The automorphism groups of relatively free algebras ⋮ On automorphisms of relatively free groups ⋮ The Small Index Property for Free Nilpotent Groups ⋮ Automorphisms of free nilpotent-by-abelian groups

Cites Work

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• All automorphisms of the 3-nilpotent free group of countably infinite rank can be lifted
• Aspherical 2-complexes
• Maximal normal subgroups of the integral linear group of countable degree
• Induced Automorphisms of Free Groups and Free Metabelian Groups
• On the Automorphisms of Free Groups and Free Nilpotent Groups
• Varieties of groups
• Characteristic Subgroups of Some Relatively Free Groups

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