4 papers
Cohomology rings and -local behavior of even Artin groups
Marcos Escartín Ferrer, Giorgio Leoni, Conchita Martínez Pérez
We generalize to certain families of even Artin groups several classical results on right-angled Artin groups. In particular, we compute the cohomology ring, describe the pro- c…
Actions with a strong fundamental domain and Sigma invariants of groups
Peio Ardaiz Galé, Marcos Escartín Ferrer, Conchita Martínez Perez
We show that if a group acts on a contractible -complex with a contractible strong fundamental domain and the stabilizers of the action satisfy certain properties, then the…
The McCullough-Miller complex for right angled Artin groups
Peio Ardaiz Galé, Conchita Martínez Pérez
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…
Around subgroups of Artin groups: derived subgroups and acylindrical hyperbolicity in the even FC-case
Jone Lopez de Gamiz Zearra, Conchita Martínez Pérez
We generalize to (certain) Artin groups some results previously known for right-angled Artin groups (RAAGs). First, we generalize a result by Droms, B. Servatius, and H. Servatius,…