A family of maximal subgroups containing the Sylow subgroups and some solvability conditions

DOI10.1007/BF01195363zbMath0563.20022OpenAlexW1987776559MaRDI QIDQ1057362

Prabir Bhattacharya, N. P. Mukherjee

Publication date: 1985

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01195363

zbMATH Keywords

maximal subgroupsnilpotentsolvableFrattini subgroupsupersolvablecharacteristic subgroupSylow 2-subgroup2-complementSylow tower

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) Products of subgroups of abstract finite groups (20D40)

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Correction to ``A family of maximal subgroups containing the Sylow subgroups and some solvability conditions, Maximal subalgebras of Lie algebras containing Engel subalgebras, Frattini subgroups relative to formation functions, On the intersection of maximal subgroups of a finite group, The Normal Index of a Maximal Subgroup of a Finite Group

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