On a graph of a $p$-solvable normal subgroup

DOI10.5486/PMD.2014.5825zbMath1349.20013OpenAlexW2319251600MaRDI QIDQ2875455

Ruifang Chen, Xiu Yun Guo, Xian He Zhao

Publication date: 14 August 2014

Published in: Publicationes Mathematicae Debrecen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5486/pmd.2014.5825

zbMATH Keywords

finite groupssolvability\(p\)-nilpotent groupsSchur-Zassenhaus theoremconjugacy class sizes\(p\)-complements\(p\)-closed groups\(p\)-solvable subgroups

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) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

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