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math.GR2013
On normal subgroups of compact groups
Nikolay Nikolov, Dan Segal
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 a…
math.GR2013★ 3 cited
Remarks on profinite groups having few open subgroups
Dan Segal
Examples are given of profinite groups that are not strongly complete, and have other `bad' properties, yet have only finitely many open subgroups of each finite index. It is shown…