Yassine Guerch

collaborators

4 papers

math.KT2026

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.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.GR2025

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…