Convergent sequences in discrete groups
Group Theory
2019-08-15 v3 Functional Analysis
Abstract
We prove that a finitely generated group contains a sequence of non-trivial elements which converge to the identity in every compact homomorphic image if and only if the group is not virtually abelian.
Keywords
Cite
@article{arxiv.1003.4093,
title = {Convergent sequences in discrete groups},
author = {Andreas Thom},
journal= {arXiv preprint arXiv:1003.4093},
year = {2019}
}
Comments
10 pages, no figures; in v2 some material on Jordan's Theorem and Chu duality added; v3 updated version, to appear in the Canadian Math. Bulletin