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Hurwitz Equivalence in Tuples of Dihedral Groups, Dicyclic Groups, and Semidihedral Groups

Author(s)
Sia, Charmaine
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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.
Date issued
2009-08
URI
http://hdl.handle.net/1721.1/89810
Department
Massachusetts Institute of Technology. Department of Mathematics
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

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