A Note on Absolute Central Automorphisms of Finite $p$-Groups

DOI10.52547/ijmsi.17.2.97OpenAlexW4312555565MaRDI QIDQ5056897

Rasoul Soleimani

Publication date: 8 December 2022

Published in: Iranian Journal of Mathematical Sciences and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.52547/ijmsi.17.2.97

zbMATH Keywords

finite \(p\)-groupsabsolute central automorphismsabsolute centre

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Related Items (1)

A Note on Absolute Central Automorphisms of Finite $p$-Groups

Uses Software

• GAP

Cites Work

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• Absolute central automorphisms that are inner.
• Some properties of autocentral automorphisms of a group.
• On \(p\)-automorphisms of finite \(p\)-groups
• The absolute center of finite groups
• On some \(p\)-subgroups of automorphism group of a finite \(p\)-group.
• The absolute centre of a group
• Finite groups with a given absolute central factor group.
• The automorphism group of an extraspecial \(p\)-group
• On equality of certain automorphism groups of finite groups
• The Groups of Order p 6 (p and Odd Prime)
• On the minimal number of generators of finite non-abelian p-groups having an abelian automorphism group
• A Note on Absolute Central Automorphisms of Finite $p$-Groups
• Automorphisms of a finite $p$-group with cyclic Frattini subgroup

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