Yassine Guerch

activity

20202026

most citedCurrents relative to a malnormal subgroup system

2 citations · 4 across the 12 of their papers we have counts for

collaborators

13 papers

math.GR2026

Depth of free-by-cyclic groups

Spencer Dowdall, Yassine Guerch, Radhika Gupta +2

For a free group automorphism, we prove that its poset of attracting lamination orbits is a canonical invariant of the associated mapping torus. That is, if a free-by-cyclic group…

math.GR2026

Aperiodicity properties of automorphism groups of free products

Yassine Guerch

Let $G = G_{1} * \dots * G_{k} * F_{N}$ be a free product of finitely presented groups, where $F_{N}$ is a free group of rank $N \in N$ . Let $Out (G, G)$ …

math.GR2023

Folding median graphs

Anthony Genevois, Yassine Guerch, Romain Tessera

Extending Stallings' foldings of trees, we show in this article that every parallel-preserving map between median graphs factors as an isometric embedding through a sequence of ele…

math.KT2023

Automorphisms of relatively hyperbolic groups and the Farrell--Jones Conjecture

Naomi Andrew, Yassine Guerch, Sam Hughes

We prove the fibred Farrell--Jones Conjecture (FJC) in $A$ -, $K$ -, and $L$ -theory for a large class of suspensions of relatively hyperbolic groups, as well as for all suspensions o…

math.GR2023

Centralisers and the virtually cyclic dimension of $Out (F_{N})$

Yassine Guerch, Sam Hughes, Luis Jorge Sánchez Saldaña

We prove that the virtually cyclic (geometric) dimension of the finite index congruence subgroup $IA_{N} (3)$ of $Out (F_{N})$ is $2 N - 2$ . From this we deduce the virtua…

math.GR2023★ 1 cited

Homology growth of polynomially growing mapping tori

Naomi Andrew, Yassine Guerch, Sam Hughes +1

We prove that residually finite mapping tori of polynomially growing automorphisms of hyperbolic groups, groups hyperbolic relative to finitely many virtually polycyclic groups, ri…

math.GR2022

Roots of outer automorphisms of free groups and centralizers of abelian subgroups of $Out (F_{N})$

Yassine Guerch

Let $N \geq 2$ and let $Out (F_{N})$ be the outer automorphism group of a nonabelian free group of rank $N$ . Let $IA_{N} (Z /3 Z)$ be the finite index s…

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★ 2 cited

Currents relative to a malnormal subgroup system

Yassine Guerch

This paper introduces a new topological space associated with a nonabelian free group $F_{n}$ of rank $n$ and a malnormal subgroup system $A$ of $F_{n}$ , called the space of…

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 $…

Depth of free-by-cyclic groups

Aperiodicity properties of automorphism groups of free products

Folding median graphs

Automorphisms of relatively hyperbolic groups and the Farrell--Jones Conjecture

Centralisers and the virtually cyclic dimension of Out(FN​)

Homology growth of polynomially growing mapping tori

Roots of outer automorphisms of free groups and centralizers of abelian subgroups of Out(FN​)

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

Currents relative to a malnormal subgroup system

Commensurations of the outer automorphism group of a universal Coxeter group

The symmetries of the Outer space of a universal Coxeter group

Centralisers and the virtually cyclic dimension of $Out (F_{N})$

Roots of outer automorphisms of free groups and centralizers of abelian subgroups of $Out (F_{N})$

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

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