English

Unrestricted virtual braids and crystallographic braid groups

Group Theory 2022-03-01 v1

Abstract

We show that the crystallographic braid group Bn/[Pn,Pn]B_n/[P_n,P_n] embeds naturally in the group of unrestricted virtual braids UVBnUVB_n, we give new proofs of known results about the torsion elements of Bn/[Pn,Pn]B_n/[P_n,P_n], and we characterise the torsion elements of UVBnUVB_n.

Keywords

Cite

@article{arxiv.2202.13792,
  title  = {Unrestricted virtual braids and crystallographic braid groups},
  author = {Paolo Bellingeri and John Guaschi and Stavroula Makri},
  journal= {arXiv preprint arXiv:2202.13792},
  year   = {2022}
}
R2 v1 2026-06-24T09:56:19.923Z