English

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

Algebraic Topology 2018-04-12 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1804.03716,
  title  = {On the virtually-cyclic dimension of surface braid groups and right-angled Artin groups},
  author = {Alejandra Trujillo-Negrete},
  journal= {arXiv preprint arXiv:1804.03716},
  year   = {2018}
}

Comments

8 pages

R2 v1 2026-06-23T01:19:49.925Z