Normal generation of locally compact groups

Normal generation of locally compact groups

It has been 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 for locally compact groups as long as we exclude infinite discrete qu...

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Veröffentlicht in:The Bulletin of the London Mathematical Society 2013-08, Vol.45 (4), p.734-738
Hauptverfasser: Eisenmann, A., Monod, N.
Format: Artikel
Sprache:eng
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Zusammenfassung:It has been 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 for locally compact groups as long as we exclude infinite discrete quotients (which is probably a necessary restriction).
ISSN:0024-6093
1469-2120
DOI:10.1112/blms/bdt009