On the centralizers of the \(p\)-regular elements in a finite group

DOI10.1007/s00574-020-00207-8OpenAlexW3014569355WikidataQ114228889 ScholiaQ114228889MaRDI QIDQ2040959

Qin Huang, Ruifang Chen, Yan Yan Zhou, Xian He Zhao

Publication date: 15 July 2021

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-020-00207-8

zbMATH Keywords

finite groupsmaximal subgroupscentralizers\(p\)-regular elements

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Maximal subgroups (20E28)

Cites Work

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• Certain relations between p-regular class sizes and the p-structure of p-solvable groups
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• Finite groups in which the centralizer of every noncentral element of odd order is abelian