A characterization of the Gaschütz subgroup of a finite soluble group

DOI10.1007/S10958-018-3924-8zbMath1398.20026OpenAlexW2810870333MaRDI QIDQ1791763

Sergey Fedorovich Kamornikov

Publication date: 11 October 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3924-8

zbMATH Keywords

Gaschütz subgrouppre-Frattini subgroup

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Maximal subgroups (20E28) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30)

Related Items (2)

On Large Orbits of Actions of Finite Soluble Groups: Applications ⋮ On the characterization of the core of a \(\pi\)-prefrattini subgroup of a finite soluble group

Cites Work

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• Pre-Frattini groups.
• Finite soluble groups
• On the normalizer of a Gaschütz system of a finite soluble group.
• Regular orbits of solvable linear \(p'\)-groups.
• Über die \(\Phi\)-Untergruppe endlicher Gruppen
• INTERSECTIONS OF ODD ORDER HALL SUBGROUPS
• Large orbits in coprime actions of solvable groups
• [https://portal.mardi4nfdi.de/wiki/Publication:5513801 Groups with Normal, Solvable Hall p � -Subgroups]

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