Marcos Escartín-Ferrer

collaborators

3 papers

math.GR2025

On the $ℓ^{2}$ -Betti numbers and algebraic fibring of the (outer) automorphism group of a right-angled Artin group

Marcos Escartín Ferrer

We compute the first $ℓ^{2}$ -Betti number of the automorphism and outer automorphism groups of arbitrary right-angled Artin groups (RAAGs), providing a complete characterization o…

math.GR2025

On the $Σ^{1}$ and $Σ^{2}$ -invariants of Artin groups

Marcos Escartín Ferrer

We prove the $Σ^{1}$ -conjecture for two families of Artin groups: Artin groups such that there exists a prime number $p$ dividing $\frac{l ( e )}{2}$ for every edge $e$ with even label…

math.GR2023

On the $Σ$ -invariants of Artin groups satisfying the $K (π, 1)$ -conjecture

Marcos Escartín Ferrer, Conchita Martínez Pérez

We consider $Σ$ -invariants of Artin groups that satisfy the $K (π, 1)$ -conjecture. These invariants determine the cohomological finiteness conditions of subgroups that contain the de…

On the ℓ2-Betti numbers and algebraic fibring of the (outer) automorphism group of a right-angled Artin group

On the Σ1 and Σ2-invariants of Artin groups

On the Σ-invariants of Artin groups satisfying the K(π,1)-conjecture

On the $ℓ^{2}$ -Betti numbers and algebraic fibring of the (outer) automorphism group of a right-angled Artin group

On the $Σ^{1}$ and $Σ^{2}$ -invariants of Artin groups

On the $Σ$ -invariants of Artin groups satisfying the $K (π, 1)$ -conjecture