A \(ZJ\)-theorem for \(p^*,p\)-injectors in finite groups

zbMath0774.20015MaRDI QIDQ1199653

Francisco Pérez-Monasor, Maria J. Iranzo, Ana Martínez-Pastor

Publication date: 16 January 1993

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1992__87__69_0

zbMATH Keywords

Sylow \(p\)-subgroups\(p^*,p\)-injectors

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)

Cites Work

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• The \(p^*p\)-injectors of a finite group
• A characteristic subgroup of \({\mathcal N}\)-stable groups
• On products of two nilpotent subgroups of a finite group
• On the normal p-structure of a finite group and related topics. I
• A Characteristic Subgroup of a p-Stable Group
• A Characteristic Subgroup of π-Stable Groups

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