On the intersection of a class of maximal subgroups of a finite group. II

DOI10.1016/0022-4049(86)90074-5zbMath0597.20014OpenAlexW2020514679MaRDI QIDQ1078664

Prabir Bhattacharya, N. P. Mukherjee

Publication date: 1986

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(86)90074-5

zbMATH Keywords

\(\pi \) -solvablegeneralized Frattini subgroupmaximal subgroups of composite index

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 (19)

On \(\mathcal F\)-abnormal maximal subgroups of finite groups. ⋮ On the \(\mathcal F\)-abnormal maximal subgroups of finite groups. ⋮ Nilpotent and soluble groups with respect to a homomorph ⋮ A note on the index complex of a maximal subgroup ⋮ \(C\)-normality and solvability of groups ⋮ On a Generalization of Hamiltonian Groups and a Dualization of PN-Groups ⋮ On theta pairs for maximal subgroups^∗ ⋮ On 𝓕-subnormal subgroups and Frattini-like subgroups of a finite group ⋮ On Frattini-like subgroups ⋮ Frattini subgroups relative to formation functions ⋮ A class of Frattini-like subgroups of a finite group ⋮ On the intersection of the normalizers of derived subgroups of all subgroups of a finite group. ⋮ On the deskins completions and theta completions for maximal subgroups^∗ ⋮ On Theta Pairs for a Maximal Subgroup ⋮ Maximal subgroups and formations ⋮ On the desking completions, theta completions and theta pairs for maximal subgroups^* ⋮ On the deskins completions, theta completions and theta pairs for maximal subgroups II^* ⋮ A family of maximal subgroups containing the Sylow subgroups and some solvability conditions ⋮ The Normal Index of a Maximal Subgroup of a Finite Group

Cites Work

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• Classes of finite groups and their properties
• Über die \(\Phi\)-Untergruppe endlicher Gruppen
• The Influence on a Finite Group of Its Proper Abnormal Structure
• Endliche Gruppen I
• On the Intersection of a Class of Maximal Subgroups of a Finite Group

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