Normal generation of locally compact groups

A. Eisenmann; N. Monod

doi:10.1112/blms/bdt009

Normal generation of locally compact groups

A. Eisenmann
, N. Monod

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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).

Original language	English
Pages (from-to)	734-738
Number of pages	5
Journal	Bulletin of the London Mathematical Society
Volume	45
Issue number	4
DOIs	https://doi.org/10.1112/blms/bdt009
State	Published - 1 Jan 2013
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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title = "Normal generation of locally compact groups",

abstract = "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).",

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AB - 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).

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DO - 10.1112/blms/bdt009

M3 - Article

AN - SCOPUS:84884577987

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SP - 734

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JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

IS - 4

ER -

Normal generation of locally compact groups

Abstract

ASJC Scopus subject areas

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