The supersolvable residual of a finite group factorized by pairwise permutable seminormal subgroups

DOI10.1007/s10469-021-09643-xzbMath1497.20029OpenAlexW3212591573MaRDI QIDQ2055309

Alexander Trofimuk

Publication date: 1 December 2021

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-021-09643-x

zbMATH Keywords

nilpotent groupSylow subgroupderived subgroupsupersolvable group\(\mathfrak{X}\)-residualseminormal 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) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Cites Work

• Products of finite groups.
• Classes of finite groups and their properties
• Produkte nilpotenter Gruppen
• Finite groups with a seminormal Hall subgroup.
• Subnormalität in faktorisierten endlichen Gruppen
• Finite soluble groups
• On finite groups whose principal factors are simple groups
• On supersolubility of a group with seminormal subgroups
• On the supersoluble residual of a product of subnormal supersoluble subgroups
• On finite factorized groups with permutable subgroups of factors
• Endliche Gruppen I
• Products of Normal Supersolvable Subgroups
• Monomiale Darstellung Endlicher Gruppen
• On the supersolvability of finite groups
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