Normal generation of locally compact groups

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).

4 pages (added an example)

References in corpus (1)

• Decomposing locally compact groups into simple pieces

Cited by in corpus (1)

• Locally compact wreath products