arXiv subjects

Alejandra Trujillo-Negrete

Publications and source records attributed to Alejandra Trujillo-Negrete.

4 recordsLinked to original sources

arXiv2021

On the dimension of the mapping class groups of a non-orientable surface

Let $\mathcal{N}_g$ be the mapping class group of a non-orientable closed surface. We prove that the proper cohomological dimension, the proper geometric dimension, and the virtual cohomological dimension of $\mathcal{N}_g$ are equal whenever $g\neq 4,5$. In particular, there exists a model for the classifying space of $\mathcal{N}_g$ for proper actions of dimension $\mathrm{vcd}(\mathcal{N}_g)=2g-5$. Similar results are obtained for the mapping class group of a non-orientable surface with boundaries and possibly punctures, and for the pure mapping class group of a non-orientable surface with punctures and without boundaries.

math.GR↗

arXiv2018

On the virtually-cyclic dimension of surface braid groups and right-angled Artin groups

We give a bound for the virtually cyclic dimension of groups with a normal subgroup of finite index which satisfies that every infinite virtually-cyclic subgroup is contained in a unique maximal such subgroup. As an application we provide a bound for the virtually-cyclic dimension for the braid group of a closed surface with genus greater than 2 and for right-angled Artin groups.

math.AT↗

arXiv2017

Models for classifying spaces for $\mathbb{Z}\rtimes \mathbb{Z}$

We construct two models for the classifying space for the family of infinite cyclic subgroups of the fundamental group of the Klein bottle. These examples do not fit in general constructions previously done, for example, for hyperbolic groups.

math.AT↗

arXiv2017

On classifying spaces for the family of virtually cyclic subgroups in mapping class groups

We give a bound for the geometric dimension for the family of virtually cyclic groups in mapping class groups of a compact surface with punctures, possibly with nonempty boundary and negative Euler characteristic.

math.AT↗