The Normal Index of a Maximal Subgroup of a Finite Group

DOI10.2307/2047369zbMath0673.20010OpenAlexW4243129695MaRDI QIDQ3826741

Prabir Bhattacharya, N. P. Mukherjee

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2047369

zbMATH Keywords

maximal subgroupsfinite groupcomposite indexsupersolvabilitychief factornormal indexlargest prime divisorminimal supplement

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) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Maximal subgroups (20E28) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30)

Related Items (3)

On the normal index and the c-section of maximal subgroups of a finite group ⋮ On the normal indices of proper subgroups of finite groups. ⋮ On Theta Pairs for a Maximal Subgroup

Cites Work

• Unnamed Item
• Classes of finite groups and their properties
• A family of maximal subgroups containing the Sylow subgroups and some solvability conditions
• On the intersection of a class of maximal subgroups of a finite group. II
• The normal index of a finite group.
• A generalized Frattini subgroup of a finite group
• A note on normal index and maximal subgroups in finite groups
• The normal index of maximal subgroups in finite groups
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• On the Intersection of a Family of Maximal Subgroups Containing the Sylow Subgroups of a Finite Group
• Endliche Gruppen I
• The Influence on a Finite Group of the Cofactors and Subcofactors of Its Subgroups
• On the Intersection of a Class of Maximal Subgroups of a Finite Group

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