Fast Nielsen-Thurston classification of braids

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

Bibliographic Details
Author: Calvez, Matthieu
Format: article
Status:Published version
Publication Date:2014
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/47518
Online Access:http://hdl.handle.net/11441/47518
https://doi.org/10.2140/agt.2014.14.1745
Access Level:Open access
Keyword:Braid groups
Nielsen-Thurston classification
Description
Summary:We prove the existence of an algorithm that solves the reducibility problem in braid groups and runs in quadratic time with respect to the braid length for any fixed braid index.