{"title":"关于半单群代数$\\mathbb的单位群{F}_qSL(2,\\mathbb{Z}_5)$","authors":"R. Sharma, Gaurav Mittal","doi":"10.21136/MB.2021.0104-20","DOIUrl":null,"url":null,"abstract":". We give the characterization of the unit group of F q SL (2 , Z 5 ), where F q is a finite field with q = p k elements for prime p > 5 , and SL (2 , Z 5 ) denotes the special linear group of 2 × 2 matrices having determinant 1 over the cyclic group Z 5 .","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":" ","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2021-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the unit group of a semisimple group algebra $\\\\mathbb{F}_qSL(2, \\\\mathbb{Z}_5)$\",\"authors\":\"R. Sharma, Gaurav Mittal\",\"doi\":\"10.21136/MB.2021.0104-20\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". We give the characterization of the unit group of F q SL (2 , Z 5 ), where F q is a finite field with q = p k elements for prime p > 5 , and SL (2 , Z 5 ) denotes the special linear group of 2 × 2 matrices having determinant 1 over the cyclic group Z 5 .\",\"PeriodicalId\":45392,\"journal\":{\"name\":\"Mathematica Bohemica\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2021-03-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica Bohemica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21136/MB.2021.0104-20\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica Bohemica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21136/MB.2021.0104-20","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
On the unit group of a semisimple group algebra $\mathbb{F}_qSL(2, \mathbb{Z}_5)$
. We give the characterization of the unit group of F q SL (2 , Z 5 ), where F q is a finite field with q = p k elements for prime p > 5 , and SL (2 , Z 5 ) denotes the special linear group of 2 × 2 matrices having determinant 1 over the cyclic group Z 5 .