• A characterization of totally disconnected compactly ruled groups

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    • Keywords


      Totally disconnected locally compact group; compactly ruled; Chabauty topology.

    • Abstract


      A locally compact group $G$ is called compactly ruled if it is a directed union of compact open subgroups. We denote by $\mathcal{SUB}(G)$ the space of closed subgroups of $G$ equipped with the Chabauty topology. In this paper, we show that the subspace $\mathcal{SUB}_{\rm co} (G)$ of $\mathcal{SUB}(G)$ consisting of compact open subgroups is dense in $\mathcal{SUB}(G)$ if and only if $G$ is totally disconnected compactly ruled.

    • Author Affiliations



      1. Department of Mathematics, Faculty of Sciences at Sfax, Sfax University, B.P. 1171, 3000 Sfax, Tunisia
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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