{"title":"弱交换性群的有限性条件及相关构造","authors":"R. Bastos, R. de Oliveira, B. Lima, I. N. Nakaoka","doi":"10.1080/00927872.2024.2354919","DOIUrl":null,"url":null,"abstract":"The weak commutativity group χ(G) is generated by two isomorphic groups G and Gφ subject to the relations [g,gφ]=1 for all g∈G. We establish a finiteness criterion for the subgroups of χ(G) in term...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"23 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Finiteness conditions for the weak commutativity group and related constructions\",\"authors\":\"R. Bastos, R. de Oliveira, B. Lima, I. N. Nakaoka\",\"doi\":\"10.1080/00927872.2024.2354919\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The weak commutativity group χ(G) is generated by two isomorphic groups G and Gφ subject to the relations [g,gφ]=1 for all g∈G. We establish a finiteness criterion for the subgroups of χ(G) in term...\",\"PeriodicalId\":50663,\"journal\":{\"name\":\"Communications in Algebra\",\"volume\":\"23 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-05-26\",\"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/10.1080/00927872.2024.2354919\",\"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/10.1080/00927872.2024.2354919","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
弱交换性群 χ(G)由两个同构群 G 和 Gφ 生成，对于所有 g∈G，它们的关系为 [g,gφ]=1。
Finiteness conditions for the weak commutativity group and related constructions
The weak commutativity group χ(G) is generated by two isomorphic groups G and Gφ subject to the relations [g,gφ]=1 for all g∈G. We establish a finiteness criterion for the subgroups of χ(G) in term...
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
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