On the residual of a factorized group with widely supersoluble factors

DOI10.1080/00927872.2020.1786580zbMath1455.20017arXiv2002.06355OpenAlexW3045899030MaRDI QIDQ5124603

Alexander Trofimuk, Victor S. Monakhov

Publication date: 30 September 2020

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

Full work available at URL: https://arxiv.org/abs/2002.06355

zbMATH Keywords

finite groupproducts of groups\(\mathbb{P}\)-subnormal subgroupwidely supersoluble group

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 (2)

On finite factorized groups with \({\mathbb{T}}X\)-subnormal subgroups ⋮ Subgroups of the Fan of Sylow subgroups and the supersolvability of a finite group

Cites Work

• On the products of \(\mathbb P\)-subnormal subgroups of finite groups.
• Finite groups with \(\mathbb P\)-subnormal subgroups.
• Finite groups with abnormal and \(\mathfrak{U}\)-subnormal subgroups
• On the finite groups of supersoluble type.
• Products of finite groups.
• Finite groups with two supersoluble subgroups
• On factorized finite groups in which certain subgroups of the factors permute
• On supersolubility of a group with seminormal subgroups
• On the supersoluble residual of a product of subnormal supersoluble subgroups
• On products of generalised supersoluble finite groups
• Classes of Finite Groups
• Endliche Gruppen I

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