{"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":null,"pages":null},"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}
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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 .
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