1. CMB 2011 (vol 56 pp. 424)
|Convergent Sequences in Discrete Groups|
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