On normal subgroups of compact groups

Published 12 Oct 2013 in math.GR | (1310.3359v2)

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.

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