On torsion groups with nilpotent automorphism groups

DOI10.1080/00927878608823402zbMath0604.20041OpenAlexW2015673761MaRDI QIDQ3741796

Francesco de Giovanni, Silvana Franciosi

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/00927878608823402

zbMATH Keywords

torsion subgrouphypercentralabelian automorphism groupnilpotent automorphism groupinfinite p-group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Automorphism groups of groups (20F28)

Related Items (6)

Central automorphisms of periodic groups ⋮ On central automorphisms of infinite groups ⋮ p-gruppi finiti con automorfo nilpotente ⋮ On the autocommutator subgroup and absolute centre of a group. ⋮ Minimal non-nilpotent groups as automorphism groups ⋮ On Groups with a Central Automorphism of Infinite Order

Cites Work

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• Complete existentially closed locally finite groups
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• A property of the lower central series of a group
• Über Automorphismengruppen endlicher \(p\)-Gruppen
• On the Automorphism Group of a Nilpotent p -Group
• INFINITE TORSION GROUPS AS AUTOMORPHISM GROUPS
• Residual Properties of Some Classes of Infinite Soluble Groups

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