• A characterization of totally disconnected compactly ruled groups

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/131/0006

• # 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

• # Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019