Some finite p-groups whose normal subgroups are characteristic

DOI10.1080/00927872.2022.2057514OpenAlexW4283690170MaRDI QIDQ5097397

Zeinab Kowsari, Reza Orfi, Shirin Fouladi

Publication date: 23 August 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2022.2057514

zbMATH Keywords

finite \(p\)-groupsnormal subgroupscharacteristic subgroupsmaximal classminimal non-abeliansplit metacyclic

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

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• \(p\)-groups without noncharacteristic normal subgroups.
• On a special class of \(p\)-groups
• The automorphism group of a split metacyclic \(p\)-group.
• Groups of prime power order. Vol. 1.
• Nilpotente Gruppen, deren sämtliche Normalteiler charakteristisch sind
• The automorphism group of a split metacyclic 2-group.
• AUTOMORPHISMS OF METABELIAN PRIME POWER ORDER GROUPS OF MAXIMAL CLASS
• Automorphisms of certain p-groups (p odd).
• The Groups of Order p 6 (p and Odd Prime)
• Further research problems and theorems on prime power groups

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