Adrien Abgrall

activity

20242026

collaborators

4 papers

math.GR2026

Algebraic and measurable embeddings between square-free right-angled Artin groups

Adrien Abgrall, Alexandra Gurieva, Camille Horbez

Let $Γ, Δ$ be finite simplicial graphs, and assume that $Γ$ has no induced squares. We prove that the right-angled Artin group $A (Δ)$ measurably embeds into $A (Γ)$ if and only if $A…

math.GR2025

Relative Untwisted Outer Space for Right-Angled Artin Groups

Adrien Abgrall

For G, H two finite collections of finitely generated subgroups of a right-angled Artin group A, the untwisted McCool group U(A; G, Ht) is the subgroup of untwisted outer automorph…

math.GR2024

Spatial Cube Complexes

Adrien Abgrall

We provide a new geometric characterization for the spine of untwisted outer space of a right-angled Artin group, constructed by Charney, Stambaugh, and Vogtmann. We realize the sp…

math.GR2024

On residual finiteness of graphs of free groups with cyclic edge groups

Adrien Abgrall, Zachary Munro

We characterize which groups splitting as finite graphs of free groups with cyclic edge groups are residually finite. Such a group $G$ is residually finite if and only if all its B…