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Hurwitz equivalence in tuples of generalized quaternion groups and dihedral groups. (English) Zbl 1188.20032
Summary: 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.

MSC:
20F36 Braid groups; Artin groups
20C15 Ordinary representations and characters
20F05 Generators, relations, and presentations of groups
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