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For a locally compact group , we writeS⁢U⁢B⁢(G){\mathcal{SUB}}(G)for the space of closed subgroups of  endowed with the Chabauty topology. For any positive integer , we associate to  the functionδG,n\delta_{G,n}fromGnG^{n}toS⁢U⁢B⁢(G){\mathcal{SUB}}(G)defined by

Finitely generated subgroups and Chabauty topology in totally disconnected locally compact groups