Fast nielsen-thurston classification of braids

Abstract

We prove the existence of an algorithm which solves the reducibility problem in braid groups and runs in quadratic time with respect to the braid length for any fixed braid index.

References in corpus (3)

• A Garside-theoretic approach to the reducibility problem in braid groups
• Reducible braids and Garside theory
• Dual Garside structure and reducibility of braids