Conjugacy Classes of 3-Braid Group B_3
Geometric Topology
2008-03-19 v3 Group Theory
Abstract
In this article we describe the summit sets in B_3, the smallest element in a summit set and we compute the Hilbert series corresponding to conjugacy classes.The results will be related to Birman-Menesco classification of knots with braid index three or less than three.
Cite
@article{arxiv.0801.4443,
title = {Conjugacy Classes of 3-Braid Group B_3},
author = {Usman Ali},
journal= {arXiv preprint arXiv:0801.4443},
year = {2008}
}
Comments
Changes in the new version are due to: (1) To relate this article to "A note closed 3-braids",preprint, arXiv:0802.1072 by J. S. Birman and W. W. Menasco. (2) Suggestions from Joan Birman to the Author through emails