On normal subgroups of compact groups
Journal of the European Mathematical Society, Tome 16 (2014) no. 3, pp. 597-618
Cet article a éte moissonné depuis la source EMS Press
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.
Classification :
22-XX, 00-XX, 20-XX
Keywords: Compact groups, dense normal subgroups, closed normal subgroups, conjugacy width
Keywords: Compact groups, dense normal subgroups, closed normal subgroups, conjugacy width
@article{JEMS_2014_16_3_a4,
author = {Nikolay Nikolov and Dan Segal},
title = {On normal subgroups of compact groups},
journal = {Journal of the European Mathematical Society},
pages = {597--618},
year = {2014},
volume = {16},
number = {3},
doi = {10.4171/jems/441},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/441/}
}
Nikolay Nikolov; Dan Segal. On normal subgroups of compact groups. Journal of the European Mathematical Society, Tome 16 (2014) no. 3, pp. 597-618. doi: 10.4171/jems/441
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