A criterion for a finite group to be σ-soluble

DOI10.1080/00927872.2018.1468907zbMath1417.20003OpenAlexW2902673386MaRDI QIDQ4633983

V. A. Kovaleva

Publication date: 7 May 2019

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

Full work available at URL: https://doi.org/10.1080/00927872.2018.1468907

zbMATH Keywords

finite group$\sigma$-nilpotent group$\sigma$-soluble group$\sigma$-subnormal subgroupiso-ordic groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15) Subnormal subgroups of abstract finite groups (20D35)

Related Items (8)

Characterizations of \(\sigma \)-solvable finite groups ⋮ Unnamed Item ⋮ Laws of the lattices of \(\sigma \)-local formations of finite groups ⋮ A generalization of \(\sigma\)-permutability ⋮ Unnamed Item ⋮ Some notes on σ-soluble groups and σ-subnormality ⋮ Unnamed Item ⋮ On finite \(\sigma \)-tower groups

Cites Work

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• Subgroup lattices of finite groups which properly contain the lattice of subnormal subgroups
• On \(H_{\sigma}\)-permutably embedded subgroups of finite groups
• Some characterizations of finite \(\sigma\)-soluble \(P\sigma T\)-groups
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• 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
• On \(\tau_\sigma\)-quasinormal subgroups of finite groups
• On \(\Pi \)-quasinormal subgroups of finite groups
• A generalization of a Hall theorem
• On finite groups with σ-subnormal Schmidt subgroups
• Finite groups all of whose subgroups are σ-subnormal or σ-abnormal
• On finite groups with non-subnormal subgroups
• ON THE LATTICE OF -SUBNORMAL SUBGROUPS OF A FINITE GROUP
• Endliche Gruppen I

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