Direct Products with Abelian Automorphism Groups

DOI10.1080/00927870601042225zbMath1136.20016OpenAlexW2055249134MaRDI QIDQ3430291

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Publication date: 21 March 2007

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

Full work available at URL: https://doi.org/10.1080/00927870601042225

zbMATH Keywords

finite groupsfinite \(p\)-groupsdirect productsAbelian automorphism groups

Mathematics Subject Classification ID

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

Related Items (3)

Finitep-Groups in Which Each Central Automorphism Fixes Centre Elementwise ⋮ On \(IA\)-automorphisms that fix the centre element-wise. ⋮ On Finitep-Groups Whose IA-Automorphisms Are All Class Preserving

Uses Software

• GAP

Cites Work

• Some non-abelian 2-groups with abelian automorphism groups
• Some non-abelian p-groups with abelian automorphism groups
• Automorphisms of direct products of finite groups.
• CENTRAL AUTOMORPHISMS THAT ARE ALMOST INNER
• A non-abelian automorphism group with all automorphisms central
• Finite Groups with Central Automorphism Group of Minimal Order

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