On normal subgroups of compact groups
Nikolay Nikolov
University of Oxford, UKDan Segal
University of Oxford, United Kingdom
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
Nikolay Nikolov, Dan Segal, On normal subgroups of compact groups. J. Eur. Math. Soc. 16 (2014), no. 3, pp. 597–618
DOI 10.4171/JEMS/441