Congruence subgroups of braid groups and crystallographic quotients. Part II

Paolo Bellingeri; Celeste Damiani; Oscar Ocampo; Charalampos Stylianakis

Congruence subgroups of braid groups and crystallographic quotients. Part II

Group Theory 2025-11-12 v2 Geometric Topology

Authors: Paolo Bellingeri , Celeste Damiani , Oscar Ocampo , Charalampos Stylianakis

Abstract

Following previous work on congruence subgroups and crystallographic braid groups, we study the lower central series of congruence braid groups related to the braid group $B_3$ , showing in particular that corresponding quotients are almost crystallographic.

Keywords

congruence subgroups braid groups crystallographic quotients lower central series almost crystallographic groups

Cite

@article{arxiv.2404.05804,
  title  = {Congruence subgroups of braid groups and crystallographic quotients. Part II},
  author = {Paolo Bellingeri and Celeste Damiani and Oscar Ocampo and Charalampos Stylianakis},
  journal= {arXiv preprint arXiv:2404.05804},
  year   = {2025}
}

Comments

All comments are welcome; typos corrected, Appendix added

Congruence subgroups of braid groups and crystallographic quotients. Part II

Abstract

Keywords

Cite

Comments

Related papers