Using edt0l systems to solve some equations in the solvable Baumslag-Solitar groups
Andrew Duncan, Alex Evetts, Derek F. Holt, Sarah Rees · Journal of Algebra · 2023
We investigate the solution sets to equations in the solvable Baumslag-Solitar groups BS(1,k), k≥2, and show that these sets are represented by edt0l languages in some cases. In particular, we prove that the multiplication table of such a group forms an edt0l language with respect to a specific natural normal form for group elements.