{"title":"THE IDENTITIES OF A GROUP WITH NILPOTENT COMMUTATOR SUBGROUP ARE FINITELY BASED","authors":"A. Krasil'nikov","doi":"10.1070/IM1991V037N03ABEH002158","DOIUrl":null,"url":null,"abstract":"It is shown that the identities of a group with nilpotent commutator subgroup are finitely based. It follows that the identities of a connected matrix group over a field are finitely based.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1991V037N03ABEH002158","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 11
Abstract
It is shown that the identities of a group with nilpotent commutator subgroup are finitely based. It follows that the identities of a connected matrix group over a field are finitely based.
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