Convergent Sequences in Discrete Groups

Canadian mathematical bulletin

Andreas Thom¹ 

[1] Universität Leipzig, Germany

关键词: Chu duality;    Bohr topology;   

DOI  :  10.4153/CMB-2011-155-3

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We prove that a finitely generated group contains asequence of non-trivial elements that converge to the identity inevery compact homomorphic image if and only if the group is notvirtually abelian. As a consequence of the methods used, we show that a finitely generatedgroup satisfies Chu duality if and only if it is virtually abelian.

【 授权许可】

Unknown