{"title":"纯无限编织汤普森群","authors":"María Cumplido","doi":"10.1080/00927872.2024.2366378","DOIUrl":null,"url":null,"abstract":"We show that pure subgroups of infinitely braided Thompson’s are bi-orderable. For every finitely generated pure subgroup, we give explicit sets of generators.","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"47 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Pure infinitely braided Thompson groups\",\"authors\":\"María Cumplido\",\"doi\":\"10.1080/00927872.2024.2366378\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that pure subgroups of infinitely braided Thompson’s are bi-orderable. For every finitely generated pure subgroup, we give explicit sets of generators.\",\"PeriodicalId\":50663,\"journal\":{\"name\":\"Communications in Algebra\",\"volume\":\"47 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Algebra\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/00927872.2024.2366378\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Algebra","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/00927872.2024.2366378","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
We show that pure subgroups of infinitely braided Thompson’s are bi-orderable. For every finitely generated pure subgroup, we give explicit sets of generators.
期刊介绍:
Communications in Algebra presents high quality papers of original research in the field of algebra. Articles from related research areas that have a significant bearing on algebra might also be published.
Topics Covered Include:
-Commutative Algebra
-Ring Theory
-Module Theory
-Non-associative Algebra including Lie algebras, Jordan algebras
-Group Theory
-Algebraic geometry