English

Double coset problem for parabolic subgroups of braid groups

Group Theory 2015-08-13 v2

Abstract

We provide the first solution to the double coset problem (DCP) for a large class of natural subgroups of braid groups, namely for all parabolic subgroups which have a connected associated Coxeter graph. Update: We succeeded to solve the DCP for all parabolic subgroups of braid groups.

Cite

@article{arxiv.1402.5541,
  title  = {Double coset problem for parabolic subgroups of braid groups},
  author = {Arkadius Kalka and Mina Teicher and Boaz Tsaban},
  journal= {arXiv preprint arXiv:1402.5541},
  year   = {2015}
}

Comments

8 pages. Update remark added

R2 v1 2026-06-22T03:13:43.901Z