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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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