Hurwitz Equivalence in Dihedral Groups
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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.
Date issued
2011-02Department
Massachusetts Institute of Technology. Department of MathematicsJournal
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
ISSN
1077-8926