Hurwitz equivalence in dihedral groups.
Summary: We determine the orbits of the braid group \(B_n\) action on \(G^n\) when \(G\) is a dihedral group and for any \(T\in G^n\). We prove that the following invariants serve as necessary and sufficient conditions for Hurwitz equivalence. They are: the product of its entries, the subgroup generated by its entries, and the number of times each conjugacy class (in the subgroup generated by its entries) is represented in \(T\).
scientific article; zbMATH DE number 5902975