Groups of Prime Power Order as Frobenius-Wielandt Complements

DOI10.2307/2001651zbMath0743.20013OpenAlexW4240834706MaRDI QIDQ3978444

Carlo Maria Scoppola

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2001651

zbMATH Keywords

Sylow subgroupsFrobenius complementFrobenius-Wielandt complements

Mathematics Subject Classification ID

Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items (9)

Soluble normally constrained pro-p-groups ⋮ Modular Frobenius groups ⋮ Classifying Camina groups: a theorem of Dark and Scoppola. ⋮ Groups having all elements off a normal subgroup with prime power order ⋮ The rationality of Sylow 2-subgroups of solvable \(\mathbb{Q}_1\)-groups ⋮ Finite \(p\)-groups ⋮ A note on Frobenius-Wielandt groups ⋮ An example of \(p\)-groups with identical character tables and different derived lengths ⋮ Applications of dimension subgroups to the power structure of \(p\)-groups

Cites Work

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• A prime Baer group
• Ein Verfahren, jeder endlichen \(p\)-Gruppe einen Lie-Ring mit der Charakteristik \(p\) zuzuordnen
• Note on a basis of P. Hall for the higher commutators in free groups
• Secretive prime-power groups of large rank
• The Complement of a Frobenius-Wielandt Group
• Endliche Gruppen I
• Generalized Frobenius Complements
• Sur les groupes nilpotents et les anneaux de Lie

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