Yassine Guerch

collaborators

5 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.GR2022★ 1 cited

Polynomial growth and subgroups of $Out (F_{n})$

Yassine Guerch

This paper, which is the last of a series of three papers, studies dynamical properties of elements of $Out (F_{n})$ , the outer automorphism group of a nonabelian free…

math.GR2022

North-South type dynamics of relative atoroidal automorphisms of free groups on a relative space of currents

Yassine Guerch

This paper, which is the second of a series of three papers, studies dynamical properties of elements of $Out (F_{n})$ , the outer automorphism group of a nonabelian fre…

math.GR2021

Commensurations of the outer automorphism group of a universal Coxeter group

Yassine Guerch

This paper studies the rigidity properties of the abstract commensurator of the outer automorphism group of a universal Coxeter group of rank $n$ , which is the free product $W_{n}$ o…

math.GR2020

The symmetries of the Outer space of a universal Coxeter group

Yassine Guerch

This paper studies the geometric rigidity of the universal Coxeter group of rank $n$ , which is the free product $W_{n}$ of $n$ copies of $Z /2 Z$ . We prove that for $…

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

Polynomial growth and subgroups of Out(Fn​)

North-South type dynamics of relative atoroidal automorphisms of free groups on a relative space of currents

Commensurations of the outer automorphism group of a universal Coxeter group

The symmetries of the Outer space of a universal Coxeter group

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

Polynomial growth and subgroups of $Out (F_{n})$