2 citations · 3 across the 5 of their papers we have counts for
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Invariant random subgroups in hyperbolic reflection groups
Jean Raimbault
We prove that the Fuchsian (4,4,4) triangle group and also right-angled reflection groups of hyperbolic spaces in higher dimensions admit ergodic invariant random subgroups having…
Profinite invariants of arithmetic groups
Holger Kammeyer, Steffen Kionke, Jean Raimbault +1
We prove that the sign of the Euler characteristic of arithmetic groups with CSP is determined by the profinite completion. In contrast, we construct examples showing that this is…
Subgroup growth of virtually cyclic right-angled Coxeter groups and their free products
Hyungryul Baik, Bram Petri, Jean Raimbault
We determine the asymptotic number of index subgroups in virtually cyclic right-angled Coxeter groups and their free products as .
Subgroup growth of right-angled Artin and Coxeter groups
Hyungryul Baik, Bram Petri, Jean Raimbault
We determine the factorial growth rate of the number of finite index subgroups of right-angled Artin groups as a function of the index. This turns out to depend solely on the indep…
On the growth of Betti numbers of locally symmetric spaces
Miklos Abert, Nicolas Bergeron, Ian Biringer +4
We announce new results concerning the asymptotic behavior of the Betti numbers of higher rank locally symmetric spaces as their volumes tend to infinity. Our main theorem is a uni…