Generators for the automorphism groups of free metabelian pro-\(p\)-groups

DOI10.1007/BF00970996zbMath0787.20025MaRDI QIDQ1204778

Vitaliĭ Roman'kov

Publication date: 28 March 1993

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

zbMATH Keywords

\(p\)-adic completionfree metabelian groupfinite generating setBachmuth-type representationfree metabelian pro-\(p\)-groupgroup of IA-automorphismsIA- automorphismsMagnus-type representation

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Limits, profinite groups (20E18)

Related Items (3)

Finite separability of tameness and primmvity in certain relatively free groups ⋮ Properties and universal theories for partially commutative nilpotent metabelian groups. ⋮ 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

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• Width of verbal subgroups in solvable groups
• Automorphism groups of free nilpotent groups
• Profinite Frobenius groups
• Combinatorial group theory for pro-p groups
• Automorphism groups of free metabelian nilpotent groups
• Generators of the automorphism group of a free nilpotent group
• [https://portal.mardi4nfdi.de/wiki/Publication:3695463 Aut(F) →Aut(F/F � � ) is Surjective for Free Group F of Rank 4]
• The Nonfinite Generation of Aut(G), G Free metabelian of Rank 3
• On Automorphisms of Free Pro-p-Groups I
• Automorphisms of Free Metabelian Groups
• Induced Automorphisms of Free Groups and Free Metabelian Groups
• Varieties of groups
• IA automorphisms of free and free metabelian groups

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