On absolute central automorphisms of a group fixing the center elementwise

DOI10.1007/S13226-017-0240-9zbMath1382.20024OpenAlexW2752091034MaRDI QIDQ1701551

S. Hajizadeh, Mohammad Mehdi Nasrabadi

Publication date: 27 February 2018

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-017-0240-9

zbMATH Keywords

autocommutator subgroupabsolute center of groupabsolute central automorphismautonilpotent grouppurely non-abelian group

Mathematics Subject Classification ID

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

Related Items (3)

On equality of absolute central and IA-automorphism groups of finite p-groups ⋮ On the coincidence of the central and absolute central automorphism groups of finite \(p\)-groups ⋮ On the equality of certain subgroups of the automorphism groups of finite \(p\)-groups

Cites Work

• Some properties of autocentral automorphisms of a group.
• Automorphisms of a \(p\)-group
• Finitep-Groups in Which Each Central Automorphism Fixes Centre Elementwise
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