Hurwitz Equivalence in Tuples of Generalized Quaternion Groups and Dihedral Groups

Xiang-dong Hou

Abstract


Let $Q_{2^m}$ be the generalized quaternion group of order $2^m$ and $D_N$ the dihedral group of order $2N$. We classify the orbits in $Q_{2^m}^n$ and $D_{p^m}^n$ ($p$ prime) under the Hurwitz action.


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