29 citations · 34 across the 8 of their papers we have counts for
5 papers · 1 filter
Spaces of closed subgroups of locally compact groups
Pierre de la Harpe
The set $\Cal C(G)$ of closed subgroups of a locally compact group has a natural topology which makes it a compact space. This topology has been defined in various contexts by…
The Chabauty space of closed subgroups of the three-dimensional Heisenberg group
Martin R. Bridson, Pierre de la Harpe, Victor Kleptsyn
When equipped with the natural topology first defined by Chabauty, the closed subgroups of a locally compact group form a compact space $\Cal C(G)$. We analyse the structure of…
Estimates for simple random walks on fundamental groups of surfaces
Laurent Bartholdi, Serge Cantat, Tullio Ceccherini-Silberstein +1
Numerical estimates are given for the spectral radius of simple random walks on Cayley graphs. Emphasis is on the case of the fundamental group of a closed surface, for the usual s…
The true prosoluble completion of a group: examples and open problems
Goulnara Arzhantseva, Pierre de la Harpe, Delaram Kahrobaei
The true prosoluble completion $P\Cal S (Γ)$ of a group is the inverse limit of the projective system of soluble quotients of . Our purpose is to describe examples and to po…
Decompositions de groupes par produit direct et groupes de Coxeter
Yves de Cornulier, Pierre de la Harpe
We provide examples of groups which are indecomposable by direct product, and more generally which are uniquely decomposable in direct products of indecomposable groups. Examples i…