Hurwitz Equivalence in Dihedral Groups
Name
Berger-2011-Hurwitz equivalence.pdf
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221.44 KB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Berger, Emily
Date Issued
February 2011
Journal
Electronic Journal of Combinatorics
Publisher
Electronic Journal of Combinatorics
Citation
Berger, Emily. "Hurwitz Equivalence in Dihedral Groups." Electronic Journal of Combinatorics, Volume 18, Issue 1 (2011).
Version
Final published version
Abstract
In this paper we determine the orbits of the braid group B[subscript n] action on G[superscript n] when G is a dihedral group and for any T ∈ G[superscript n]. We prove that the following invariants serve as necessary and sufficient conditions for Hurwitz equivalence. They are: the product of its entries, the subgroup generated by its entries, and the number of times each conjugacy class (in the subgroup generated by its entries) is represented in T.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.37236/532
