Finite groups with cyclic S-cofactors of subgroups

DOI10.1142/S0219498815500541zbMath1334.20021OpenAlexW2163955990MaRDI QIDQ4983047

Xiaolan Yi

Publication date: 14 April 2015

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

Full work available at URL: https://doi.org/10.1142/s0219498815500541

zbMATH Keywords

finite groupsSylow subgroupssaturated formations\(S\)-permutable subgroups\(S\)-cofactors\(S\)-cores

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) Products of subgroups of abstract finite groups (20D40)

Cites Work

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• On the intersection of all maximal \(\mathcal F\)-subgroups of a finite group.
• On the \(\mathcal X\Phi\)-hypercentre of finite groups.
• Finite core-\(p\) \(p\)-groups
• On the intersection of the \(\mathcal F\)-maximal subgroups and the generalized \(\mathcal F\)-hypercentre of a finite group.
• Finite groups with given \(s\)-embedded and \(n\)-embedded subgroups.
• Classes of Finite Groups
• Endliche Gruppen I
• On finite groups whose subgroups have simple core factors
• On weakly \(s\)-permutable subgroups of finite groups.

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