Criteria for the solubility and non-simplicity of finite groups.

DOI10.1016/J.JALGEBRA.2004.12.009zbMath1079.20028OpenAlexW2003113326MaRDI QIDQ1770465

Angel Carocca, Bernhard Amberg, Lev S. Kazarin

Publication date: 7 April 2005

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

Full work available at URL: http://hdl.handle.net/10533/176389

zbMATH Keywords

finite groupsSylow subgroupssimple groupsfactorizable groupsgeneralized prime graphsnon-simplicity criteriasoluble graphsSylow sets

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) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite simple groups and their classification (20D05) Products of subgroups of abstract finite groups (20D40)

Related Items (8)

Thompson-like characterization of solubility for products of finite groups ⋮ On the product of a nilpotent group and a group with non-trivial center. ⋮ Unnamed Item ⋮ Finite groups with \(S \)-conditionally permutable Schmidt subgroups ⋮ The \(D_\pi\)-property on products of \(\pi\)-decomposable groups ⋮ On the Soluble Graph of a Finite Simple Group ⋮ Factorizations of groups and related topics. ⋮ On the product of two \(\pi\)-decomposable groups.

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