The influence of p-regular class sizes on normal subgroups

DOI10.1515/jgt-2013-0002zbMath1315.20032OpenAlexW2026609287MaRDI QIDQ2869866

María José Felipe, Zeinab Akhlaghi, Antonio Beltrán Felip

Publication date: 7 January 2014

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt-2013-0002

zbMATH Keywords

conjugacy classesfinite solvable groupsfinite groupsfinite simple groupsSchur multipliers\(p\)-regular elementsconjugacy class sizesprime graphs

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 simple groups and their classification (20D05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

Normal sections, class sizes and solvability of finite groups. ⋮ Class sizes of prime-power order \(p'\)-elements and normal subgroups.

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