English

On the virtually cyclic dimension of normally poly-free groups

Group Theory 2023-11-20 v1

Abstract

In this note we give an upper bound for the virtually cyclic dimension of any normally poly-free group in terms of its length. In particular, this implies that virtually even Artin groups of FC-type admit a finite dimensional model for the classifying space with respect to the family of virtually cyclic subgroups.

Keywords

Cite

@article{arxiv.2311.10257,
  title  = {On the virtually cyclic dimension of normally poly-free groups},
  author = {Rita Jiménez Rolland and Porfirio L. León Álvarez},
  journal= {arXiv preprint arXiv:2311.10257},
  year   = {2023}
}

Comments

8 pages, comments very welcome!