5 papers
Balanced groups and the virtually cyclic dimension of poly-surfaces groups
Jesús Hernández Hernández, Porfirio Leandro León Álvarez
In this paper we obtain explicit linear upper bounds for the virtually cyclic dimension of normally poly-surface and normally poly-free groups. Our approach is based on a structura…
Asymptotic and cohomological dimension of surface braid groups and poly-surface groups
Porfirio L. León Álvarez, Israel Morales
In this paper, we determine the asymptotic dimension for all surface braid groups -- including those associated with non-orientable and infinite-type surfaces -- as well as for tor…
On the dimension of Harer's spine for the decorated Teichmüller space
Nestor Colin, Rita Jiménez Rolland, Porfirio L. León Álvarez +1
In \cite{Ha86} Harer explicitly constructed a spine for the decorated Teichmüller space of orientable surfaces with at least one puncture and negative Euler characteristic. In this…
Classifying spaces for families of abelian subgroups of braid groups, RAAGs and graphs of abelian groups
Porfirio L. León Álvarez
Given a group and an integer we consider the family of all virtually abelian subgroups of of rank at most . In this article we prove that for e…
Commensurators of abelian subgroups and the virtually abelian dimension of mapping class groups
Rita Jiménez Rolland, Porfirio L. León Álvarez, Luis Jorge Sánchez Saldaña
Let be the mapping class group of a compact connected orientable surface , possibly with punctures and boundary components, with negative Euler characteristic.…