A reduction theorem for a conjecture on products of two \(\pi\)-decomposable groups.

DOI10.1016/J.JALGEBRA.2013.01.017zbMath1323.20020OpenAlexW2052760204WikidataQ123354286 ScholiaQ123354286MaRDI QIDQ376040

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

Publication date: 1 November 2013

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

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0021869313000434

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 (4)

FINITE TRIFACTORISED GROUPS AND -DECOMPOSABILITY ⋮ On products of groups and indices not divisible by a given prime ⋮ The \(D_\pi\)-property on products of \(\pi\)-decomposable groups ⋮ On the product of two \(\pi\)-decomposable groups.

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