On the product of two \(\pi\)-decomposable groups.

DOI10.4171/RMI/826zbMath1316.20017OpenAlexW2010543127MaRDI QIDQ2340460

Lev S. Kazarin, María Dolores Pérez-Ramos, Ana Martínez-Pastor

Publication date: 17 April 2015

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rmi/826

zbMATH Keywords

Hall subgroupsfinite groupsfinite simple groupsproducts of subgroupsalmost simple groups\(\pi\)-decomposable groups\(\pi\)-structurefactorized 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) Finite simple groups and their classification (20D05) Products of subgroups of abstract finite groups (20D40)

Related Items (2)

FINITE TRIFACTORISED GROUPS AND -DECOMPOSABILITY ⋮ The \(D_\pi\)-property on products of \(\pi\)-decomposable groups

Cites Work

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• A reduction theorem for a conjecture on products of two \(\pi\)-decomposable groups.
• Products of finite groups.
• Criteria for the solubility and non-simplicity of finite groups.
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• On the product of a \(\pi\)-group and a \(\pi\)-decomposable group.
• The maximal factorizations of the finite simple groups and their automorphism groups
• The local structure of finite groups of characteristic 2 type
• Subgroups of finite Chevalley groups
• Centralizers of Semisimple Elements in the Finite Classical Groups

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