{"title":"A new characterization of symplectic groups C2(3n)","authors":"B. Ebrahimzadeh, R. Mohammadyari","doi":"10.12697/ACUTM.2019.23.12","DOIUrl":null,"url":null,"abstract":"We prove that symplectic groups C2(3n), where n = 2k (k ≥ 0) and (32n + 1)=2 is a prime number, can be uniquely determined by the order of the group and the number of elements with the same order.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"28 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2019-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta et Commentationes Universitatis Tartuensis de Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12697/ACUTM.2019.23.12","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: 1
Abstract
We prove that symplectic groups C2(3n), where n = 2k (k ≥ 0) and (32n + 1)=2 is a prime number, can be uniquely determined by the order of the group and the number of elements with the same order.