On the normal index and the c-section of maximal subgroups of a finite group

DOI10.1515/JGT.2009.051zbMath1203.20028MaRDI QIDQ3565223

Xianhua Li, Xinjian Zhang

Publication date: 2 June 2010

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

finite groupsmaximal subgroupssolvabilitychief factorssupplemented subgroups\(c\)-sectionsnormal indices of maximal subgroups

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) Maximal subgroups (20E28) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items (3)

On maximal subgroups of nonsolvable groups ⋮ A note on the normal index and the \(c\)-section of maximal subgroups of a finite group ⋮ The indices of subgroups of finite groups in the join of their conjugate pairs.

Cites Work

• On the normal index of maximal subgroups in finite groups
• A classification of the maximal subgroups of the finite alternating and symmetric groups
• \(c\)-sections of maximal subgroups of finite groups
• On \(c\)-section and \(c\)-index of finite groups
• Cover-avoidance properties and the structure of finite groups
• The Primitive Permutation Groups of Odd Degree
• The Normal Index of a Maximal Subgroup of a Finite Group
• Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type
• Influence of Indices of the Maximal Subgroups of the Finite Simple Groups on the Structure of a Finite Group
• Some finite nonsolvable groups characterized by their solvable subgroups^∗

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