关于半单群代数$\mathbb的单位群{F}_qSL（2，\mathbb{Z}_5)$

IF 0.3 Q4 MATHEMATICS Mathematica Bohemica Pub Date : 2021-03-08 DOI:10.21136/MB.2021.0104-20

R. Sharma, Gaurav Mittal

{"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":null,"pages":null},"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\":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}","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}

引用次数: 0

摘要

.我们给出了Fq-SL（2，Z5）的单位群的特征，其中Fq是素数p>5的q=pk元素的有限域，SL（2，Z 5）表示在循环群Z5上具有行列式1的2×2矩阵的特殊线性群。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

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 .

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Mathematica Bohemica MATHEMATICS-

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

52 weeks