On the intersection of all maximal \(\mathcal F\)-subgroups of a finite group.

DOI10.1016/j.jalgebra.2011.06.028zbMath1247.20020OpenAlexW2037619062MaRDI QIDQ661907

Alexander N. Skiba

Publication date: 11 February 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.06.028

zbMATH Keywords

finite groupsmaximal subgroupsquasinormal subgroupssaturated formationspermutable subgroupshypercentrehereditary formationssupersoluble groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Products of subgroups of abstract finite groups (20D40)

Related Items (11)

On Formation Generalization of Some Local Theorems ⋮ On normalizers of the nilpotent residuals of subgroups of a finite group ⋮ On the \(\pi\mathfrak F\)-norm and the \(\mathfrak H\)-\(\mathfrak F\)-norm of a finite group. ⋮ The non‐F graph of a finite group ⋮ On the intersection of the \(\mathcal F\)-maximal subgroups and the generalized \(\mathcal F\)-hypercentre of a finite group. ⋮ On generalized \(\mathfrak U\)-hypercentral subgroups of a finite group. ⋮ On the \(\mathfrak{F}\)-hypercenter and the intersection of \(\mathfrak{F}\)-maximal subgroups of a finite group ⋮ On a class of generalised Schmidt groups. ⋮ On the generalized norm of a finite group ⋮ 10.1007/s11754-008-1006-1 ⋮ Finite groups with cyclic S-cofactors of subgroups

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