Normal generation of locally compact groups

Amichai Eisenmann; Nicolas Monod

doi:10.1112/blms/bdt009

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arXiv · 1206.6638

Normal generation of locally compact groups

Amichai Eisenmann·Nicolas Monod

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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).

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Amichai Eisenmann, Nicolas Monod. 2012-07-02. Normal generation of locally compact groups. https://doi.org/10.1112/blms%2Fbdt009

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