\(p\)-divisibility of conjugacy class sizes and normal \(p\)-complements.

DOI10.1515/jgth-2014-0035zbMath1311.20028OpenAlexW2322793553WikidataQ59255723 ScholiaQ59255723MaRDI QIDQ486458

María José Felipe, Changguo Shao, Antonio Beltrán Felip

Publication date: 15 January 2015

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

Full work available at URL: https://doi.org/10.1515/jgth-2014-0035

zbMATH Keywords

finite groupssolvabilityconjugacy class sizesnormal \(p\)-complements

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Products of subgroups of abstract finite groups (20D40)

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On the p -regular G-conjugacy classes with sizes 1 or minimal ⋮ Conjugacy classes contained in normal subgroups: an overview

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