Congruence subgroups of braid groups and crystallographic quotients. Part I
Group Theory
2025-03-26 v2 Geometric Topology
Abstract
This paper is the first of a two part series devoted to describing relations between congruence and crystallographic braid groups. We recall and introduce some elements belonging to congruence braid groups and we establish some (iso)-morphisms between crystallographic braid groups and corresponding quotients of congruence braid groups.
Cite
@article{arxiv.2401.15748,
title = {Congruence subgroups of braid groups and crystallographic quotients. Part I},
author = {Paolo Bellingeri and Celeste Damiani and Oscar Ocampo and Charalampos Stylianakis},
journal= {arXiv preprint arXiv:2401.15748},
year = {2025}
}
Comments
Minor revisions; accepted by Australian Journal of Mathematics