Hurwitz Equivalence in Tuples of Dihedral Groups, Dicyclic Groups, and Semidihedral Groups
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Sia-2009-Hurwitz equivalence.pdf
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Author(s)
Sia, Charmaine
Date Issued
August 2009
Journal
Electronic Journal of Combinatorics
Publisher
Electronic Journal of Combinatorics
Citation
Sia, Charmaine. "Hurwitz Equivalence in Tuples of Dihedral Groups, Dicyclic Groups, and Semidihedral Groups." Electronic Journal of Combinatorics, Volume 16, Issue 1 (2009).
Version
Final published version
Abstract
Let D[subscript 2N] be the dihedral group of order 2N, Dic[subscript 4M] the dicyclic group of order 4M, SD[subscript 2m] the semidihedral group of order 2[superscript m], and M[subscript 2m] the group of order 2[superscript m] with presentation
M[subscript 2m] = ⟨α,β∣α[superscript 2m−1] = β[superscript 2] = 1, βαβ[superscript −1] = α[superscript 2m−2+1]⟩.
We classify the orbits in D[n over 2N], Dic[n over 4M], SD[n over 2m], and M[n over 2m] under the Hurwitz action.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.37236/184
