Automorphisms of free nilpotent-by-abelian groups

DOI10.1017/S0305004100071474zbMath0798.20024OpenAlexW2058184880MaRDI QIDQ3142763

Roger M. Bryant, Chander Kanta Gupta

Publication date: 2 January 1994

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100071474

zbMATH Keywords

nilpotent groupsfree groupsbasisvariety of groupsverbal subgrouptame automorphismsprimitive systemsfree nilpotent-by- abelian varieties

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Nilpotent groups (20F18) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Quasivarieties and varieties of groups (20E10)

Related Items

Automorphisms of a free group of infinite rank ⋮ The automorphism groups of relatively free algebras ⋮ ON AUTOMORPHISMS OF FREE NILPOTENT-BY-ABELIAN GROUPS

Cites Work

• Automorphisms of relatively free nilpotent groups of infinite rank
• [https://portal.mardi4nfdi.de/wiki/Publication:3695463 Aut(F) →Aut(F/F � � ) is Surjective for Free Group F of Rank 4]
• Tame range of automorphism groups of free polynilpotent groups
• Lifting Primitivity of Free Nilpotent Groups
• Automorphisms of free metabelian groups of infinite rank
• AUTOMORPHISMS OF F/R′ GROUPS
• Primitivity in Free Groups and Free Metabelian Groups
• Automorphisms of Free Metabelian Groups
• 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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