On some classes of finite quasi-ℱ-groups

DOI10.1515/JGT.2008.086zbMath1176.20017OpenAlexW2119477094MaRDI QIDQ3631809

Wen-Bin Guo, Alexander N. Skiba

Publication date: 22 June 2009

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

Full work available at URL: https://doi.org/10.1515/jgt.2008.086

zbMATH Keywords

finite groupsformationschief factorsquasinilpotent groupsquasisolvabilityquasi-\(\mathfrak F\)-groupsquasisolvable groupsquasisupersolvability

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Related Items (16)

\(\mathcal M^*\)-supplemented subgroups of finite groups. ⋮ On \(\mathcal F\Phi^*\)-hypercentral subgroups of finite groups. ⋮ Unnamed Item ⋮ On an open problem of Guo-Skiba ⋮ A \(U_m\)-subnormal subgroup of a finite group ⋮ A characterization of the hypercyclically embedded subgroups of finite groups. ⋮ New criteria for quasi-\(\mathscr {F}\)-groups ⋮ A generalized CAP-subgroup of a finite group. ⋮ On partial CAP∗-subgroups of finite groups ⋮ Formations of finite groups in polynomial time: \(\mathfrak{F}\)-residuals and \(\mathfrak{F}\)-subnormality ⋮ Some conditions for cyclic chief factors of finite groups ⋮ On the \(\mathfrak{F}\)-hypercenter and the intersection of \(\mathfrak{F}\)-maximal subgroups of a finite group ⋮ On the \(\mathcal X\Phi\)-hypercentre of finite groups. ⋮ On some arithmetic properties of nite groups ⋮ On factorizations of finite groups with ℱ-hypercentral intersections of the factors ⋮ Some Conditions Under which a Finite Group Belongs to a Baer-Local Formation

Cites Work

• Composition formations and radicals of finite groups
• Influence of normality on maximal subgroups of Sylow subgroups of a finite group
• \(C\)-normality of groups and its properties
• The structure of finite groups in which permutability is a transitive relation
• Multiply $$\mathfrak{L}$$ formations of finite groupsformations of finite groups
• The influence of c-normality of subgroups on the structure of finite groups II^*

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