{"title":"有限群的 p-Sylowizers 和 p-nilpotency","authors":"Yaxin Gao, Xianhua Li, Donglin Lei","doi":"10.1007/s13226-024-00674-5","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we investigate the structure of finite group <i>G</i> by assuming that the intersections between <i>p</i>-sylowizers of some <i>p</i>-subgroups of <i>G</i> and <span>\\(O^p(G)\\)</span> are <i>S</i>-permutable in <i>G</i>. We obtain some criterions for <i>p</i>-nilpotency of a finite group.</p>","PeriodicalId":501427,"journal":{"name":"Indian Journal of Pure and Applied Mathematics","volume":"18 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"p-Sylowizers and p-nilpotency of finite groups\",\"authors\":\"Yaxin Gao, Xianhua Li, Donglin Lei\",\"doi\":\"10.1007/s13226-024-00674-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, we investigate the structure of finite group <i>G</i> by assuming that the intersections between <i>p</i>-sylowizers of some <i>p</i>-subgroups of <i>G</i> and <span>\\\\(O^p(G)\\\\)</span> are <i>S</i>-permutable in <i>G</i>. We obtain some criterions for <i>p</i>-nilpotency of a finite group.</p>\",\"PeriodicalId\":501427,\"journal\":{\"name\":\"Indian Journal of Pure and Applied Mathematics\",\"volume\":\"18 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Indian Journal of Pure and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s13226-024-00674-5\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indian Journal of Pure and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s13226-024-00674-5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
本文通过假定有限群 G 的一些 p 子群的 p 子交点与 \(O^p(G)\) 在 G 中是 S 可遍历的来研究有限群 G 的结构，并得到有限群 p-nilpotency 的一些判据。
In this paper, we investigate the structure of finite group G by assuming that the intersections between p-sylowizers of some p-subgroups of G and \(O^p(G)\) are S-permutable in G. We obtain some criterions for p-nilpotency of a finite group.
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