Some notes on σ-soluble groups and σ-subnormality

DOI10.1080/00927872.2023.2181631zbMath1521.20039MaRDI QIDQ6157688

Chi Zhang, Zhenfeng Wu, Unnamed Author

Publication date: 22 June 2023

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

zbMATH Keywords

finite group\( \sigma \)-nilpotent groups\( \sigma \)-soluble groups\( \sigma \)-subnormal subgroupsHall \(\sigma \)-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) Subnormal subgroups of abstract finite groups (20D35)

Cites Work

• Über Produkte von nilpotenten Gruppen
• Produkte nilpotenter Gruppen
• Finite soluble groups
• On \(\sigma\)-subnormality criteria in finite groups
• \(G\)-covering subgroup systems for some classes of \(\sigma\)-soluble groups
• The size of a product of two subgroups and subnormality
• On \(\sigma\)-subnormal subgroups of finite group
• On \(\sigma \)-subnormal subgroups of finite groups
• The \(D_\pi\)-property on products of \(\pi\)-decomposable groups
• Finite groups whose \(n\)-maximal subgroups are \({\sigma}\)-subnormal
• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• On some results in the theory of finite partially soluble groups
• A generalization of a Hall theorem
• Structure Theory for Canonical Classes of Finite Groups
• On weakly $\sigma$-permutable subgroups of finite groups
• Theorems Like Sylow's
• A criterion for a finite group to be σ-soluble
• A note on maximal subgroups of σ-soluble groups
• On finite groups factorized by σ-nilpotent subgroups
• On σ-subnormal closure
• Finite groups with σ-abnormal or σ-subnormal σ-primary subgroups
• On products of nilpotent groups

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