Open Access
2017 Signed permutations and the braid group
Michael P. Allocca, Steven T. Dougherty, Jennifer F. Vasquez
Rocky Mountain J. Math. 47(2): 391-402 (2017). DOI: 10.1216/RMJ-2017-47-2-391

Abstract

We make a connection between the braid group and signed permutations. Using this link, we describe a commutative diagram which contains the fundamental sequence for the braid group.

Citation

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Michael P. Allocca. Steven T. Dougherty. Jennifer F. Vasquez. "Signed permutations and the braid group." Rocky Mountain J. Math. 47 (2) 391 - 402, 2017. https://doi.org/10.1216/RMJ-2017-47-2-391

Information

Published: 2017
First available in Project Euclid: 18 April 2017

zbMATH: 06715752
MathSciNet: MR3635365
Digital Object Identifier: 10.1216/RMJ-2017-47-2-391

Subjects:
Primary: 20B30 , 20F36

Keywords: Braid group , signed permutation , Symmetric group

Rights: Copyright © 2017 Rocky Mountain Mathematics Consortium

Vol.47 • No. 2 • 2017
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