María José Felipe, Marc Kelly Jean-Philippe, Víctor Sotomayor
{"title":"在 $p$ 不规则类上的公因子图没有三角形的群的分类","authors":"María José Felipe, Marc Kelly Jean-Philippe, Víctor Sotomayor","doi":"arxiv-2408.02818","DOIUrl":null,"url":null,"abstract":"Let $p$ be a prime. In this paper we classify the $p$-structure of those\nfinite $p$-separable groups such that, given any three non-central conjugacy\nclasses of $p$-regular elements, two of them necessarily have coprime lengths.","PeriodicalId":501037,"journal":{"name":"arXiv - MATH - Group Theory","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Classification of groups whose common divisor graph on $p$-regular classes has no triangles\",\"authors\":\"María José Felipe, Marc Kelly Jean-Philippe, Víctor Sotomayor\",\"doi\":\"arxiv-2408.02818\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let $p$ be a prime. In this paper we classify the $p$-structure of those\\nfinite $p$-separable groups such that, given any three non-central conjugacy\\nclasses of $p$-regular elements, two of them necessarily have coprime lengths.\",\"PeriodicalId\":501037,\"journal\":{\"name\":\"arXiv - MATH - Group Theory\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Group Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.02818\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Group Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.02818","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Classification of groups whose common divisor graph on $p$-regular classes has no triangles
Let $p$ be a prime. In this paper we classify the $p$-structure of those
finite $p$-separable groups such that, given any three non-central conjugacy
classes of $p$-regular elements, two of them necessarily have coprime lengths.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
