THE NORMAL INDEX OF SUBGROUPS IN FINITE GROUPS

DOI10.1142/S1793557110000325zbMath1213.20019MaRDI QIDQ3056441

Xia Yin, Xianhua Li

Publication date: 12 November 2010

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite groupsmaximal subgroupssolvabilitychief factorssupplemented subgroups2-maximal 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) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items (2)

On the normal indices of proper subgroups of finite groups. ⋮ The Ideal Index of Subalgebras of a Finite Dimensional Lie Algebra

Cites Work

• On the normal index of maximal subgroups in finite groups
• The normal index of a finite group.
• Cover-avoidance properties and the structure of finite groups
• \(C\)-normality of groups and its properties
• On the Intersection of a Class of Maximal Subgroups of a Finite Group

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