On normal subgroups of compact groups

Nikolov, Nikolay, and Segal, Dan. "On normal subgroups of compact groups." Journal of the European Mathematical Society 016.3 (2014): 597-618. <http://eudml.org/doc/277333>.

@article{Nikolov2014,
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 $G$.},
author = {Nikolov, Nikolay, Segal, Dan},
journal = {Journal of the European Mathematical Society},
keywords = {compact groups; dense normal subgroups; closed normal subgroups; conjugacy width; compact groups; dense normal subgroups; closed normal subgroups; conjugacy width},
language = {eng},
number = {3},
pages = {597-618},
publisher = {European Mathematical Society Publishing House},
title = {On normal subgroups of compact groups},
url = {http://eudml.org/doc/277333},
volume = {016},
year = {2014},
}

TY - JOUR
AU - Nikolov, Nikolay
AU - Segal, Dan
TI - On normal subgroups of compact groups
JO - Journal of the European Mathematical Society
PY - 2014
PB - European Mathematical Society Publishing House
VL - 016
IS - 3
SP - 597
EP - 618
AB - 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 $G$.
LA - eng
KW - compact groups; dense normal subgroups; closed normal subgroups; conjugacy width; compact groups; dense normal subgroups; closed normal subgroups; conjugacy width
UR - http://eudml.org/doc/277333
ER -