Nilpotent groups related to an automorphism

DOI10.1007/S12044-018-0441-0zbMath1448.20031OpenAlexW2898557184MaRDI QIDQ1630252

Ahmad Erfanian, Masoumeh Ganjali

Publication date: 7 December 2018

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-018-0441-0

zbMATH Keywords

nilpotent groupabsolute normal subgroupidentity nilpotent group

Mathematics Subject Classification ID

Nilpotent groups (20F18) Automorphisms of abstract finite groups (20D45) Automorphisms of infinite groups (20E36) Finite nilpotent groups, (p)-groups (20D15) Commutator calculus (20F12)

Cites Work

• Nilpotent groups and their automorphisms
• The converse of Schur's theorem
• The absolute centre of a group
• Noninner automorphisms of order \(p\) of finite \(p\)-groups
• Perfect groups and normal subgroups related to an automorphism
• Finite \(p\)-groups of class 2 have noninner automorphisms of order \(p\).
• Nichtabelsche p-Gruppen besitzen äußere p-Automorphismen
• The automorphism group of an extraspecial \(p\)-group
• Automorphisms of Finite Abelian Groups
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