JournalsjemsVol. 16, No. 3pp. 597–618

On normal subgroups of compact groups

  • Dan Segal

    University of Oxford, United Kingdom

  • Nikolay Nikolov

    University of Oxford, UK
On normal subgroups of compact groups cover
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Abstract

Among compact Hausdorff groups whose maximal profinite quotient is finitely generated, we characterize those that possess a proper dense normal subgroup. We also prove that the abstract commutator subgroup is closed for every closed normal subgroup of .

Cite this article

Dan Segal, Nikolay Nikolov, On normal subgroups of compact groups. J. Eur. Math. Soc. 16 (2014), no. 3, pp. 597–618

DOI 10.4171/JEMS/441