{"title":"Torsion-free Abelian Factor Groups of the Baumslag-Solitar Groups and Subgroups of the Additive Group of the Rational Numbers","authors":"A. Clement","doi":"10.1515/GCC.2009.165","DOIUrl":null,"url":null,"abstract":"The object of this paper is to give a proof of the following theorem: S/P ≅ Λ mn ⊆ ℚ+, where S/P is a certain torsion-free factor group of the Baumslag-Solitar group 〈a, b; a –1 bma = bn | m ≠ 0, n ≠ 0, m, n ∈ ℤ〉, with m and n are relatively prime, and Λ mn is a subgroup of the additive group of the rational numbers ℚ+.","PeriodicalId":119576,"journal":{"name":"Groups Complex. Cryptol.","volume":"36 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Groups Complex. Cryptol.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/GCC.2009.165","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The object of this paper is to give a proof of the following theorem: S/P ≅ Λ mn ⊆ ℚ+, where S/P is a certain torsion-free factor group of the Baumslag-Solitar group 〈a, b; a –1 bma = bn | m ≠ 0, n ≠ 0, m, n ∈ ℤ〉, with m and n are relatively prime, and Λ mn is a subgroup of the additive group of the rational numbers ℚ+.