Finite p–nilpotent groups with some subgroups c–supplemented

DOI10.1017/S1446788700008624zbMath1093.20008MaRDI QIDQ5694834

Xiu Yun Guo, Kar Ping Shum

Publication date: 5 October 2005

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

soluble groupsfinite groupsmaximal subgroupsSylow subgroupssaturated formationsminimal subgroupssupersolubilityfactorized groupsc-supplementationc-supplemented groups

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

Related Items (11)

Unnamed Item ⋮ New Characterizations ofp-Supersolubility of Finite Groups ⋮ Finite groups with certain kind of subgroups weakly {\(c\)}-supplemented ⋮ \(c^*\)-quasinormally embedded subgroups of finite groups. ⋮ Finite groups with some primary subgroups \(ss\)-quasinormally embedded. ⋮ On \(ss\)-quasinormal and weakly \(s\)-supplemented subgroups of finite groups. ⋮ THE INFLUENCE OF MINIMAL SUBGROUPS ON THE STRUCTURE OF FINITE GROUPS ⋮ On \(s\)-quasinormally embedded and weakly \(s\)-supplemented subgroups of finite groups. ⋮ Finite groups with some \(\mathfrak F\)-supplemented subgroups. II. ⋮ Unnamed Item ⋮ On weakly c-supplemented subgroups of finite groups

Cites Work

• \({\mathfrak h}\)-normalizers and local definitions of saturated formations of finite groups
• On finite factorizable groups
• Two sufficient conditions for supersolvability of finite groups
• The influence of \(c\)-normality of subgroups on the structure of finite groups
• Groups with maximal subgroups of Sylow subgroups normal
• Solvability of groups of odd order
• M-groups and 2-groups
• Finite groups whose minimal subgroups are normal
• Zwei Klassen von Formationen endlicher auflösbarer Gruppen, deren Halbverband gesättigter Unterformationen genau ein maximales Element besitzt. (Two classes of formations of finite solvable groups the semilattice of saturated subformations of which has exactly one maximal element)
• The classification of (J, σ)-irreducible monoids of typeA₄
• A note on minimal subgroups of finite groups
• C-Supplemented subgroups of finite groups
• Conjugacy of Odd order Hall Subgroups

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