Finite groups with a seminormal Hall subgroup.

DOI10.1007/S11006-006-0173-9zbMath1128.20011OpenAlexW1996243352MaRDI QIDQ881143

Victor S. Monakhov

Publication date: 21 May 2007

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-006-0173-9

zbMATH Keywords

Hall subgroupsfinite groupssolvabilitynilpotent groupsSylow subgroupssolvable groupssupersolvable groupsnilpotencyseminormal 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) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items (14)

Unnamed Item ⋮ The derived \(\pi\)-length, nilpotent \(\pi\)-length, and simple \(\pi\)-length of finite \(\pi\)-soluble groups. ⋮ On supersolubility of a group with seminormal subgroups ⋮ On the supersolubility of a group with semisubnormal factors ⋮ Derived \(p\)-length of a \(p\)-soluble group with bounded indices of fitting \(p\)-subgroups in their normal closures ⋮ Finite groups with two supersoluble subgroups ⋮ A note on groups with a finite number of pairwise permutable seminormal subgroups ⋮ Finite groups with given systems of propermutable subgroups ⋮ Finite groups with seminormal or abnormal Sylow subgroups ⋮ On finite groups factorizable by weakly subnormal subgroups ⋮ The supersolvable residual of a finite group factorized by pairwise permutable seminormal subgroups ⋮ On the solvability of a finite group with \(S\)-seminormal Schmidt subgroups ⋮ Unnamed Item ⋮ On the supersolubility of a group with some tcc-subgroups

Cites Work

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• Produkte nilpotenter Gruppen
• Subgroups of prime power index in a simple group

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