Finiteness conditions for the weak commutativity group and related constructions

IF 0.6 3区数学 Q3 MATHEMATICS

Communications in Algebra Pub Date : 2024-05-26 DOI:10.1080/00927872.2024.2354919

R. Bastos, R. de Oliveira, B. Lima, I. N. Nakaoka

引用次数: 0

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...

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弱交换性群的有限性条件及相关构造

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Algebra 数学-数学

CiteScore

1.30

自引率

14.30%

发文量

327

审稿时长

9 months

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