On the membership problem of finite groups in solvably saturated formations.

DOI10.1134/S0001434612090234zbMath1272.20012MaRDI QIDQ1929791

L. P. Avdashkova, Sergey Fedorovich Kamornikov

Publication date: 9 January 2013

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

finite groupsFrattini extensionschief factorsc-normal subgroupssolvably saturated formations

Mathematics Subject Classification ID

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

Cites Work

• Zur Theorie der endlichen auflösbaren Gruppen
• Two sufficient conditions for supersolvability of finite groups
• Finite soluble groups
• Influence of normality on maximal subgroups of Sylow subgroups of a finite group
• On properties of formations of quasinilpotent groups
• \(C\)-normality of groups and its properties
• Finite groups whose minimal subgroups are normal
• ON c-NORMAL MAXIMAL AND MINIMAL SUBGROUPS OF SYLOW SUBGROUPS OF FINITE GROUPS
• FINITE GROUPS WITH SOME PRIMARY SUBGROUPS F-s-SUPPLEMENTED
• On weakly \(s\)-permutable subgroups of finite groups.
• On \(S\)-quasinormally embedded subgroups of finite groups
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