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19.70 (2018)

Open

(P. Wesolek and P.-E. Caprace). Let $\mathcal{S}$ denote the class of nondiscrete compactly generated, topologically simple tdlc groups. Let $G$ be a non-elementary tdlcsc group. Is there a compactly generated closed subgroup $H \leqslant G$ such that $H$ has a continuous quotient in $\mathcal{S}$?

Contributor: C. Reid

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