3 papers
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 is residually finite if and only if all its B…