P-groups with non-abelian automorphism groups and all automorphisms central

DOI10.1017/S0004972700021249zbMath0524.20011MaRDI QIDQ3037649

J. J. jun. Malone

Publication date: 1984

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

p-groupscentral automorphismnon-abelian automorphism group

Mathematics Subject Classification ID

Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Related Items (8)

Central automorphisms of Zappa-Szép products of two cyclic groups ⋮ CENTRAL AUTOMORPHISMS THAT ARE ALMOST INNER ⋮ On finite \(p\)-groups whose automorphisms are all central. ⋮ On Commuting Automorphisms ofp-Groups ⋮ Finite \(p\)-groups ⋮ A module-theoretic approach to abelian automorphism groups. ⋮ On commuting automorphisms of groups ⋮ Automorphism Groups of Semi-Direct Products

Cites Work

• Some non-abelian p-groups with abelian automorphism groups
• A non-abelian 2-group whose endomorphisms generate a ring, and other examples of E-groups
• More on Groups in Which Each Element Commutes with its Endomorphic Images
• Groups in Which Each Element Commutes with its Endomorphic Images

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