Knapsack and the power word problem in solvable Baumslag-Solitar groups

Moses Ganardi, Markus Lohrey, Georg Zetzsche

We prove that the power word problem for certain metabelian subgroups of $\mathsf{GL}(2,\mathbb{C})$ (including the solvable Baumslag-Solitar groups $\mathsf{BS}(1,q) = \langle a,t…