Peio Ardaiz Gal'e

collaborators

3 papers

math.GR2026

Cohomology of the pure symmetric automorphisms of right-angled Artin groups

Peio Ardaiz GalÃ©

We compute the cohomology groups of the pure symmetric outer automorphism group $I^£$ POut $(A_{I^} )$ and the pure symmetric automorphism group $I^£$ PAut $(A_{I^} )$ of a right-angled Artin…

math.GR2026

Actions with a strong fundamental domain and Sigma invariants of groups

Peio Ardaiz GalÃ©, Marcos EscartÃn Ferrer, Conchita MartÃnez Perez

We show that if a group $G$ acts on a contractible $C W$ -complex with a contractible strong fundamental domain and the stabilizers of the action satisfy certain properties, then the…

math.GR2025

The McCullough-Miller complex for right angled Artin groups

McCullough and Miller constructed a contractible complex on which the pure symmetric automorphism group of a free group acts with free abelian stabilizers. This complex has been us…