Products of Finite Supersoluble Groups

DOI10.1142/S1005386709000327zbMath1182.20028OpenAlexW2049872300MaRDI QIDQ3633830

Xi Liu, Wen-Bin Guo, Kar Ping Shum

Publication date: 23 June 2009

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

Full work available at URL: https://doi.org/10.1142/s1005386709000327

zbMATH Keywords

finite groupssubnormal subgroupsproducts of subgroupssupersoluble groupsdispersive groupsconditionally permutable subgroupspermutability of subgroupscomplete c-permutability

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) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (7)

On supersolubility of a group with seminormal subgroups ⋮ On the supersolubility of a group with semisubnormal factors ⋮ On conditional permutability and saturated formations ⋮ Conditional permutability of subgroups and certain classes of groups ⋮ On finite products of groups and supersolubility. ⋮ On conditional permutability and factorized groups. ⋮ Finite minimal non-supersolvable groups decomposable into the product of two normal supersolvable subgroups.

Cites Work

• \(p\)-supersolvability of factorized finite groups
• Mutually permutable products of finite groups
• A Completeness Property of certain Formations
• Schur–Zassenhaus Theorem for X-Permutable Subgroups
• Endliche Gruppen I
• On the supersolvability of finite groups

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