On tame automorphisms of some metabelian groups

DOI10.1007/BF02674607zbMath0956.20016OpenAlexW2056609148MaRDI QIDQ1586970

E. I. Timoshenko

Publication date: 21 November 2000

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/120819

zbMATH Keywords

wild automorphismstame automorphismsrelatively free groupsvarieties of metabelian groupsmetabelian groups of bounded nilpotency classrecognition algorithms for tame automorphisms

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Quasivarieties and varieties of groups (20E10)

Related Items (1)

Examples of finitely generated metabelian groups not residually finite with respect to conjugacy and occurrence, and representation of groups of the form \(F/R'\gamma_m(F) \)

Cites Work

• [https://portal.mardi4nfdi.de/wiki/Publication:3695463 Aut(F) →Aut(F/F � � ) is Surjective for Free Group F of Rank 4]
• Primitivity in Free Groups and Free Metabelian Groups
• Triples of 2 × 2 Matrices Which Generate Free Groups
• Tame automorphisms of finitely generated abelian groups
• Finite separability of tameness and primmvity in certain relatively free groups
• Primitivity in the free groups of the variety U_mU_n
• IA automorphisms of free and free metabelian groups
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