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Self-Chabauty-isolated Locally Compact Groups

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Abstract

Let G be a locally compact group. We denote by \({\mathcal {SUB}}\left( G\right) \) the space of closed subgroups of G equipped with the Chabauty topology. The group G is called self-Chabauty-isolated if the point G is isolated in \({\mathcal {SUB}}\left( G\right) \). In this paper we are interested in the following question: Give necessary and sufficient conditions for the group G to be a self-Chabauty-isolated.

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Correspondence to Hatem Hamrouni .

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Hamrouni, H., Sadki, F. (2019). Self-Chabauty-isolated Locally Compact Groups. In: Baklouti, A., Nomura, T. (eds) Geometric and Harmonic Analysis on Homogeneous Spaces. TJC 2017. Springer Proceedings in Mathematics & Statistics, vol 290. Springer, Cham. https://doi.org/10.1007/978-3-030-26562-5_2

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