Automorphisms of nilpotent-by-abelian groups

DOI10.1017/S0004972700004317zbMath0693.20034OpenAlexW2163750819MaRDI QIDQ3035495

Frank Levin, Chander Kanta Gupta

Publication date: 1989

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700004317

zbMATH Keywords

nilpotent-by-Abelian groupsgenerating setwild automorphismsfully invariant subgroupautomorphisms of relatively free groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Quasivarieties and varieties of groups (20E10)

Related Items (5)

Non-tame automorphisms of free nilpotent groups ⋮ Automorphisms of free centre-by-metabelian groups of small rank ⋮ On transitivity and (non)amenability of \(\Aut F_n\) actions on group presentations. ⋮ On automorphisms of free center-by-metabelian and nilpotent groups and Lie algebras ⋮ ON AUTOMORPHISMS OF FREE NILPOTENT-BY-ABELIAN GROUPS

Cites Work

• On automorphisms of free centre-by-metabelian groups
• IA-automorphisms of the free metabelian group of rank 3
• Characteristic Subgroups of Free Centre-by-Metabelian Groups
• [https://portal.mardi4nfdi.de/wiki/Publication:3695463 Aut(F) →Aut(F/F � � ) is Surjective for Free Group F of Rank 4]
• Free Group Rings
• The Nonfinite Generation of Aut(G), G Free metabelian of Rank 3
• An Inverse Function Theorem for Free Groups
• Automorphisms of Free Metabelian Groups
• IA automorphisms of free and free metabelian groups

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