Infinite soluble groups with no outer automorphisms

zbMath0436.20024MaRDI QIDQ1140717

Derek J. S. Robinson

Publication date: 1980

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1980__62__281_0

zbMATH Keywords

Carter subgroupsnilpotent grouppolycyclic groupscomplete groupsouter automorphism groupinfinite soluble groups of finite total rankinfinite supersoluble groupsmetanilpotent complete groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generalizations of solvable and nilpotent groups (20F19) Nilpotent groups (20F18) Homological methods in group theory (20J05) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28)

Related Items (4)

Cohomology of locally nilpotent groups ⋮ On finite complete groups ⋮ Model aspherical manifolds with no periodic maps ⋮ Anosov diffeomorphisms of products II. Aspherical manifolds

Cites Work

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• On finite complete groups
• Homology in group theory
• Some finite solvable groups with no outer automorphisms
• Complete groups of odd order
• The vanishing of certain homology and cohomology groups
• Finite metabelian groups with no outer automorphisms
• Kohomologische Trivialitäten und äußere Automorphismen von p- Gruppen
• Cohomological topics in group theory.
• The upper central series in soluble groups
• A complete group of odd order
• Endliche Gruppen I
• Automorphisms of Group Extensions

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