JOURNAL OF GGT

Published in Journal of Gökova Geometry Topology, Volume 4 (2010)
Title Isotropy subgroup of the Hurwitz action of the 4-braid group on braid systems
Author Yoshiro Yaguchi
Abstract
We study the Hurwitz action of the 4-braid group B4 on the 4-fold direct product B54 of the 5-braid group B5 and determine explicitly a system of generators of the isotropy subgroup of the Hurwitz action of B4 at the standard generators of B5. As a corollary 125 representatives of its coset space are also presented.
Keywords braid group, Hurwitz action, standard generators
Pages82-95
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Submitted: October 17,2010
Accepted: November 30, 2010
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Last updated: January 2011
Web address: GokovaGT.org/journal/2010