English

A simple algorithm for finding short sigma-definite representatives

Group Theory 2011-01-10 v1

Abstract

We describe a new algorithm which for each braid returns a quasi-geodesic sigma-definite word representative, defined as a braid word in which the generator sigma_i with maximal index i appears either only positively or only negatively.

Cite

@article{arxiv.1101.1400,
  title  = {A simple algorithm for finding short sigma-definite representatives},
  author = {Jean Fromentin and Luis Paris},
  journal= {arXiv preprint arXiv:1101.1400},
  year   = {2011}
}

Comments

11 pages

R2 v1 2026-06-21T17:08:48.353Z