Finite generalized soluble groups

DOI10.1007/s10469-019-09535-1zbMath1464.20004OpenAlexW2963053556MaRDI QIDQ2011366

Yanyan Li

Publication date: 6 December 2019

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

Full work available at URL: https://doi.org/10.1007/s10469-019-09535-1

zbMATH Keywords

finite groupHall subgroup\( \sigma \)-basis\( \sigma \)-soluble subgroupgeneralized \(\sigma \)-soluble 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)

Cites Work

• Products of finite groups.
• Finite soluble groups
• Finite groups with given indices of normalizers of Sylow subgroups
• Some characterizations of finite \(\sigma\)-soluble \(P\sigma T\)-groups
• Finite groups with permutable Hall subgroups
• Sylow numbers of finite groups
• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• On some results in the theory of finite partially soluble groups
• Semipermutable \(\pi\)-subgroups.
• A generalization of a Hall theorem
• Classes of Finite Groups
• Endliche Gruppen I
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