Structure Theory for Canonical Classes of Finite Groups

DOI10.1007/978-3-662-45747-4zbMath1343.20021OpenAlexW922546626MaRDI QIDQ2935417

Wen-Bin Guo

Publication date: 30 December 2014

Full work available at URL: https://doi.org/10.1007/978-3-662-45747-4

zbMATH Keywords

soluble groupsboundary conditionsFitting classesformationsproducts of formationsproducts of subgroupsquasinormal subgroupssaturated formationscovering systemslocal formationspermutable subgroupshypercentral groupssubgroup functorssupplemented subgroupsinjectorssupersoluble groupsquasipermutable subgroupsclasses of finite groupscovering subgroupsembedded subgroupshyper-generalized centrenoncancellative factorisationsSpencer height

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) General structure theorems for groups (20E34) Formations of groups, Fitting classes (20F17) Products of subgroups of abstract finite groups (20D40) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

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