Camille Horbez

activity

20192022

most citedBig mapping class groups with hyperbolic actions: classification and applications

10 citations · 10 across the 2 of their papers we have counts for

collaborators

3 papers

math.GR2022

On the homology growth and the $ℓ^{2}$ -Betti numbers of $Out (W_{n})$

Damien Gaboriau, Yassine Guerch, Camille Horbez

Let $n \geq 3$ , and let $Out (W_{n})$ be the outer automorphism group of a free Coxeter group $W_{n}$ of rank $n$ . We study the growth of the dimension of the homology groups (wi…

math.GT2020★ 10 cited

Big mapping class groups with hyperbolic actions: classification and applications

Camille Horbez, Yulan Qing, Kasra Rafi

We address the question of determining which mapping class groups of infinite-type surfaces admit nonelementary continuous actions on hyperbolic spaces. More precisely, let $Σ$ be…

math.GR2019

Commensurations of subgroups of $Out (F_{N})$

Camille Horbez, Richard D. Wade

A theorem of Farb and Handel asserts that for $N \geq 4$ , the natural inclusion from $Out (F_{N})$ into its abstract commensurator is an isomorphism. We give a new proof of the…

On the homology growth and the ℓ2-Betti numbers of Out(Wn​)

Big mapping class groups with hyperbolic actions: classification and applications

Commensurations of subgroups of Out(FN​)

On the homology growth and the $ℓ^{2}$ -Betti numbers of $Out (W_{n})$

Commensurations of subgroups of $Out (F_{N})$