Pronormal subgroups of a direct product of groups.

DOI10.1016/J.JALGEBRA.2008.12.006zbMath1200.20015OpenAlexW2055269414MaRDI QIDQ1018411

J. Martínez

Publication date: 19 May 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.12.006

zbMATH Keywords

finite groupsfinite soluble groupsdirect productspronormal subgroupsabnormal subgroupsweak Frattini argument

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (6)

On the pronormality of subgroups of odd index in some direct products of finite groups ⋮ On the pronormality of subgroups of odd index in some extensions of finite groups ⋮ The $p$-nilpotency of finite groups with some weakly pronormal subgroups ⋮ Unnamed Item ⋮ Subgroups of a Direct Product of Groups that Satisfy the Strong Frattini Argument ⋮ Finite groups with some pronormal subgroups

Cites Work

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• CAP-subgroups in a direct product of finite groups.
• Finite soluble groups
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• Injectors in finite solvable groups
• A nonabnormal subgroup contained only in self-normalizing subgroups in a finite group
• Permutable subgroups of a direct product.
• On self-normality and abnormality in the alternating groups.
• The Frattini Argument and t-Groups
• PERMUTABLE DIAGONAL-TYPE SUBGROUPS OF $G\times H$
• Normally embedded subgroups in direct products
• Pronormality in Finite Groups
• Permutability of subgroups of \(G\times H\) that are direct products of subgroups of the direct factors

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