On groups of automorphisms of residually finite groups

DOI10.1006/jabr.2000.8334zbMath0967.20022OpenAlexW2002517676MaRDI QIDQ1585301

Ulderico Dardano, Bettina Eick, Martin Menth

Publication date: 29 May 2001

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

Full work available at URL: https://semanticscholar.org/paper/61036e7972d13c4c6d8fad8a4288fead0d21af4f

zbMATH Keywords

automorphism groupsresidually finite groupsnilpotent subgroupssoluble minimax groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Residual properties and generalizations; residually finite groups (20E26)

Related Items (1)

On groups of automorphisms of nilpotent $p$-groups of finite rank

Cites Work

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• On the nilpotent length of polycyclic groups
• The solvable length of a solvable linear group
• The Sylow 2-subgroups of the finite classical groups
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• The Structure of the Automorphism Group of a Free Group on Two Generators
• Residual Properties of Some Classes of Infinite Soluble Groups
• Frattini Subgroups in Finitely Generated Linear Groups
• Groups of Automorphisms of Soluble Groups
• Maximal Abelian Subgroups of the Symmetric Groups
• Coset Representations in Free Groups
• Sylow p-Subgroups of the Classical Groups Over Finite Fields with Characteristic Prime to p
• Soluble products of nilpotent groups

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