On normal subgroups of compact groups
Group Theory
2013-10-21 v2
Abstract
Among compact Hausdorff groups G 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 [H,G] is closed for every closed normal subgroup H of G.
Cite
@article{arxiv.1310.3359,
title = {On normal subgroups of compact groups},
author = {Nikolay Nikolov and Dan Segal},
journal= {arXiv preprint arXiv:1310.3359},
year = {2013}
}
Comments
To appear in J. European Math. Soc