On the Intersection of a Class of Maximal Subgroups of a Finite Group

DOI10.4153/CJM-1987-028-3zbMath0619.20007OpenAlexW2312759989MaRDI QIDQ5903382

N. P. Mukherjee, Prabir Bhattacharya

Publication date: 1987

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1987-028-3

zbMATH Keywords

maximal subgroupsFrattini subgroupsupersolvablecharacteristic subgroupsp-solvableSylow p-subgroupSylow toweranalogs of the Frattini subgroup

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)

Related Items (15)

On the intersection of a class of maximal subgroups of a finite group. II ⋮ On the intersection of families of maximal subgroups of a finite group ⋮ The influence of second maximal subgroups on the generalized p-solvability of finite groups ⋮ \(C\)-normality and solvability of groups ⋮ On maximal subgroups of nonsolvable groups ⋮ On Frattini-like subgroups ⋮ Maximal subalgebras of Lie algebras containing Engel subalgebras ⋮ Frattini subgroups relative to formation functions ⋮ On the structure of the normal subgroups of a group: Supersolubility ⋮ On non-Frattini chief factors and solvability of finite groups. ⋮ THE NORMAL INDEX OF SUBGROUPS IN FINITE GROUPS ⋮ Finite groups with some SS-supplemented subgroups ⋮ Maximal subgroups and formations ⋮ A family of maximal subgroups containing the Sylow subgroups and some solvability conditions ⋮ The Normal Index of a Maximal Subgroup of a Finite Group

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