Solvable PST-groups, strong Sylow bases and mutually permutable products.

DOI10.1016/j.jalgebra.2009.01.007zbMath1190.20015OpenAlexW2008549065MaRDI QIDQ1021440

Hermann Heineken, James C. Beidleman, Matthew F. Ragland

Publication date: 8 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.01.007

zbMATH Keywords

finite solvable groupsSylow basessolvabilitytransitive normalitypermutable subgroupstransitive permutabilityPST-groups

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)

Related Items (10)

Finite groups in which SS-permutability is a transitive relation. ⋮ Some special classes of finite soluble PST-groups. ⋮ Finite groups in which \(\tau\)-quasinormality is a transitive relation. ⋮ Virtual elements for computational anisotropic crystal plasticity ⋮ Graphs, partitions and classes of groups. ⋮ Subnormal, permutable, and embedded subgroups in finite groups. ⋮ Extensions with overlap. ⋮ Some characterizations of finite groups in which semipermutability is a transitive relation ⋮ Some Characterisations of Soluble SST-Groups ⋮ On self-normalizing subgroups of finite groups

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