We prove that a finitely generated group contains a sequence of non-trivial elements that converge to the identity in every compact homomorphic image if and only if the group is not virtually abelian. As a consequence of the methods used, we show that a finitely generated group satisfies Chu duality if and only if it is virtually abelian.

Keywords:

Chu duality, Bohr topology Chu duality, Bohr topology

MSC Classifications:

54H11 show english descriptions Topological groups [See also 22A05] 54H11 - Topological groups [See also 22A05]

top of page | contact us | social media | privacy | site map