Normal subgroups and \(p\)-regular \(G\)-class sizes.

DOI10.1016/j.jalgebra.2011.04.004zbMath1241.20034OpenAlexW2080203889MaRDI QIDQ657953

María José Felipe, Maryam Khatami, Antonio Beltrán Felip, Zeinab Akhlaghi

Publication date: 11 January 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.04.004

zbMATH Keywords

conjugacy classesfinite groupssolvabilitynilpotence\(p\)-regular elementsconjugacy class sizesfinite \(p\)-soluble groupsnilpotent \(p\)-complementsnumbers of conjugates

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items (2)

On the conjugate type vector and the structure of a normal subgroup ⋮ Influence of conjugacy class sizes of some elements on the structure of a finite group

Cites Work

• Unnamed Item
• The theory of finite groups. An introduction.
• FINITE GROUPS WITH TWO p-REGULAR CONJUGACY CLASS LENGTHS II
• Finite groups with two p-regular conjugacy class lengths
• On p-Regular G-Conjugacy Classes and the p-Structure of Normal Subgroups
• On Groups all of Whose Elements Have Prime Power Order
• On Finite Groups with Given Conjugate Types I

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