SUFFICIENT CONDITIONS FOR 2-NILPOTENCE OF A FINITE GROUP

DOI10.1142/S0219498812501873zbMath1276.20023MaRDI QIDQ4923925

Yakov G. Berkovich

Publication date: 27 May 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

finite groups\(p\)-nilpotence\(p\)-complementsreal elementsminimal nonabelian groupsminimal nonnilpotent groupssubgroups of odd order

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) General structure theorems for groups (20E34) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Cites Work

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• Fixed elements in 2-groups revisited.
• Normal \(p\)-complements and fixed elements.
• A \(p\)-nilpotency criterion.
• Das ``schiefe Produkt in der Gruppentheorie mit Anwendung auf die endlichen nichtkommutativen Gruppen mit lauter kommutativen echten Untergruppen und die Ordnungszahlen, zu denen nur kommutative Gruppen gehören
• Endliche Gruppen I

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