Twisted conjugacy in dihedral Artin groups II: Baumslag Solitar groups BS (n, n)

In this second paper we solve the twisted conjugacy problem for even dihedral Artin groups, that is, groups with presentation G (m) = a, b ₌ (a, b) = ₌ (b, a), where m 2 is even, and ₌ (a, b) is the word abab of length m. Similar to odd dihedral Artin groups, we prove orbit decidability for all subgroups A Aut (G (m) ), which then implies that the conjugacy problem is solvable in extensions of even dihedral Artin groups.