Nikolay Nikolov, Dan Segal
Abstract
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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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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 .
Key concepts: Mathematics, Pure mathematics, Normal subgroup, Group (periodic table), Organic chemistry, Chemistry