{"title":"关于σ$可解超群和相关霍尔定理","authors":"Chi Zhang, Wenbin Guo","doi":"arxiv-2409.07778","DOIUrl":null,"url":null,"abstract":"In this paper, we establish the theory of $\\sigma$-solvable hypergroups,\nstudy some properties of $\\sigma$-solvable hypergroups and give similar results\nof Hall's Theorem in $\\sigma$-solvable hypergroups.","PeriodicalId":501037,"journal":{"name":"arXiv - MATH - Group Theory","volume":"10 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On $σ$-solvable hypergroups and related Hall's Theorem\",\"authors\":\"Chi Zhang, Wenbin Guo\",\"doi\":\"arxiv-2409.07778\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we establish the theory of $\\\\sigma$-solvable hypergroups,\\nstudy some properties of $\\\\sigma$-solvable hypergroups and give similar results\\nof Hall's Theorem in $\\\\sigma$-solvable hypergroups.\",\"PeriodicalId\":501037,\"journal\":{\"name\":\"arXiv - MATH - Group Theory\",\"volume\":\"10 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-12\",\"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-2409.07778\",\"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-2409.07778","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On $σ$-solvable hypergroups and related Hall's Theorem
In this paper, we establish the theory of $\sigma$-solvable hypergroups,
study some properties of $\sigma$-solvable hypergroups and give similar results
of Hall's Theorem in $\sigma$-solvable hypergroups.