An analogue for some Fitting classes to a theorem of Stellmacher

DOI10.1016/0022-4049(94)00138-3zbMath0847.20011OpenAlexW2056678668MaRDI QIDQ1909728

M. J. Iranzo Aznar, Ana Martínez-Pastor, Francisco Pérez-Monasor

Publication date: 30 September 1996

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(94)00138-3

zbMATH Keywords

subnormal subgroupsFitting classes\(p\)-groupscharacteristic subgroupsconjugacy classes of injectorsweakly \(p\)-stable groups

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)

Cites Work

• Fittingklassen endlicher Gruppen, in denen gewisse Hauptfaktoren einfach sind
• The \(p^*p\)-injectors of a finite group
• \({\mathcal F}\)-constraint with respect to a Fitting class
• Finite soluble groups
• On the normal p-structure of a finite group and related topics. I
• Stability with respect to a Fitting class
• Injectors and normal subgroups of finite groups
• An Analogue to Glauberman's ZJ-Theorem

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