On normal subgroups of compact groups
classification
🧮 math.GR
keywords
normalsubgroupclosedcompactgroupsabstractcharacterizecommutator
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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.
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