On supersolubility of a group with seminormal subgroups

DOI10.1134/S0037446620010103zbMath1484.20030MaRDI QIDQ2191345

Alexander Trofimuk, Victor S. Monakhov

Publication date: 24 June 2020

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

zbMATH Keywords

nilpotent groupSylow subgroupsupersoluble groupderived subgroup\( \mathfrak{X} \)-residualseminormal subgroupindex of subgroup

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)

Related Items (6)

Unnamed Item ⋮ On the residual of a factorized group with widely supersoluble factors ⋮ A note on groups with a finite number of pairwise permutable seminormal subgroups ⋮ On finite groups factorizable by weakly subnormal subgroups ⋮ The supersolvable residual of a finite group factorized by pairwise permutable seminormal subgroups ⋮ On the supersolubility of a finite group factorized into pairwise permutable seminormal subgroups

Uses Software

• GAP

Cites Work

• Finite groups with abnormal and \(\mathfrak{U}\)-subnormal subgroups
• Products of finite groups.
• Finite groups with two supersoluble subgroups
• Some solvability criteria for finite groups
• Classes of finite groups and their properties
• Finite groups with a seminormal Hall subgroup.
• Finite groups with seminormal Sylow subgroups.
• On finite products of groups and supersolubility.
• \(p\)-supersolvability of factorized finite groups
• On the supersoluble residual of a product of subnormal supersoluble subgroups
• Finite groups with seminormal Schmidt subgroups
• Products of Finite Supersoluble Groups
• Endliche Gruppen I
• Monomiale Darstellung Endlicher Gruppen
• On the supersolvability of finite groups
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