Normal generation of locally compact groups
Group Theory
2013-07-12 v2
Abstract
It is a well-known open problem since the 1970s whether a finitely generated perfect group can be normally generated by a single element or not. We prove that the topological version of this problem has an affirmative answer as long as we exclude infinite discrete quotients (which is probably a necessary restriction).
Cite
@article{arxiv.1206.6638,
title = {Normal generation of locally compact groups},
author = {Amichai Eisenmann and Nicolas Monod},
journal= {arXiv preprint arXiv:1206.6638},
year = {2013}
}
Comments
4 pages (added an example)