Some remarks on groups in which elements with the same \(p\)-power commute

zbMATH Open1008.20022MaRDI QIDQ1848111

Mercede Maj, Patrizia Longobardi

Publication date: 31 October 2002

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

normal subgroupsfinitely generated subgroupslocally nilpotent groupshypercentral groupscentral seriesregular \(p\)-groups\(p\)-elements\(p\)-powers

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Finite nilpotent groups, (p)-groups (20D15) Derived series, central series, and generalizations for groups (20F14)

Related Items (1)

Powerful \(p\)-groups have non-inner automorphisms of order \(p\) and some cohomology.

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