{"title":"PRIMITIVE ELEMENTS OF FREE GROUPS OF RANK 3","authors":"V. Roman’kov","doi":"10.1070/SM1992V073N02ABEH002554","DOIUrl":null,"url":null,"abstract":"The automorphism group of the free metabelian group is investigated. It is shown that has primitive elements not induced by primitive elements of . A criterion is provided for elements of to be primitive.","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"22 4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-sbornik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/SM1992V073N02ABEH002554","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 14
Abstract
The automorphism group of the free metabelian group is investigated. It is shown that has primitive elements not induced by primitive elements of . A criterion is provided for elements of to be primitive.