On Finite Groups with $\mathscr{H}C$-Subgroups

DOI10.1142/S0219498815500632zbMath1314.20015MaRDI QIDQ4983057

Na Wu, Xiu Yun Guo

Publication date: 14 April 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

finite groupsfinite soluble groupsSylow subgroupssaturated formations\(p\)-nilpotencysubgroup embedding propertiessupersolubility\(\mathcal H\)-subgroups\(c\)-normal subgroups\(\mathcal HC\)-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) Special subgroups (Frattini, Fitting, etc.) (20D25) Products of subgroups of abstract finite groups (20D40)

Related Items (6)

On \(\mathscr {H}{C}\)-subgroups of finite groups ⋮ Conditions on p-subgroups implying p-supersolvability ⋮ A result on p-hypercyclically embedded subgroups ⋮ Finite groups with some minimal subgroups are ℋC-subgroups ⋮ Finite groups with weakly ℋC-embedded subgroups ⋮ A note on \(\mathcal HC\)-subgroups of finite groups

Cites Work

• On finite groups with prime-power order \(S\)-quasinormally embedded subgroups.
• Finite groups with certain subgroups of Sylow subgroups complemented.
• ON SS-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS AND THEIR PROPERTIES
• INFLUENCE OF STRONGLY CLOSED 2-SUBGROUPS ON THE STRUCTURE OF FINITE GROUPS
• On ℋC-Subgroups and the Structure of Finite Groups
• On Supersolvable Groups and the Nilpotator
• Finite Groups Whose Minimal Subgroups arec-Supplemented
• The influence of ℋ-subgroups on the structure of finite groups
• On finiteJ-groups
• Finite Groups all of Whose Second Maximal Subgroups are QTI-Subgroups
• On finite solvable groups in which normality is a transitive relation
• Onp-Nilpotence and Supersolvability of Finite Groups

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