{"title":"A NOTE ON THE NILPOTENCY CLASS OF THE UNIT GROUP OF A MODULAR GROUP ALGEBRA","authors":"F. Catino, S. Siciliano, Ernesto Spinelli","doi":"10.3318/PRIA.2008.108.1.65","DOIUrl":null,"url":null,"abstract":"It is well known that a modular group algebra KG is Lie nilpotent if, and only if, its unit group U(KG) is nilpotent. In this note we prove that if G is a torsion group, then the equality cIl(KG) = c'(U(KG)) occurs.","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Proceedings of the Royal Irish Academy","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3318/PRIA.2008.108.1.65","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
It is well known that a modular group algebra KG is Lie nilpotent if, and only if, its unit group U(KG) is nilpotent. In this note we prove that if G is a torsion group, then the equality cIl(KG) = c'(U(KG)) occurs.
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