CAP-subgroups in a direct product of finite groups.

DOI10.1016/J.JALGEBRA.2006.09.002zbMath1113.20021OpenAlexW2007425792MaRDI QIDQ858714

Joseph Petrillo

Publication date: 11 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.09.002

zbMATH Keywords

finite groupsdirect productschief factorsCAP-subgroupscover-avoidance property

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Products of subgroups of abstract finite groups (20D40)

Related Items (8)

On constructing CAP-subgroups in direct products ⋮ Finite groups with some CAP-subgroups. ⋮ A Generalization of Cover-Avoiding Properties in Finite Groups ⋮ Finite groups with some CAP-subgroups. ⋮ The embedding of CAP-subgroups in finite groups. ⋮ Pronormal subgroups of a direct product of groups. ⋮ On c#-normal subgroups of finite groups ⋮ Finite groups with systems of \(\Sigma\)-embedded subgroups.

Cites Work

• Unnamed Item
• Cover-avoid subgroups in finite solvable groups
• A contribution to the theory of finite supersoluble groups
• Cover-avoidance properties and the structure of finite groups
• Subgroup lattices of groups
• Cover-Avoidance Properties in Finite Soluble Groups
• Permutability of subgroups of \(G\times H\) that are direct products of subgroups of the direct factors

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