Nilpotent injectors in finite groups all of whose local subgroups are \(\mathcal N\)-constrained

DOI10.1016/0021-8693(92)90024-GzbMath0779.20006MaRDI QIDQ1194044

Flavell, Paul

Publication date: 27 September 1992

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

zbMATH Keywords

soluble groupsfinite groupnilpotent injectorslocal subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (3)

On the B-injectors of sporadic groups ⋮ On the conjugacy of nilpotent injectors in finite groups. ⋮ Nilpotent injectors in minimal simple groups.

Cites Work

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• Nilpotent injectors in alternating groups
• Nilpotent injectors in symmetric groups
• On Burnside's other \(p^a q^b\) theorem
• Injektoren endlicher auflösbarer Gruppen
• On groups with abelian Sylow 2-subgroups
• Injectors and normal subgroups of finite groups
• Injectors of finite solvable groups
• Endliche Gruppen I

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