Direct and Inverse Problems in Baumslag-Solitar Group $BS(1,3)$
Direct and Inverse Problems in Baumslag-Solitar Group $BS(1,3)$
For integers $m$ and $n$, the Baumslag-Solitar groups, denoted as $BS(m,n)$, are groups generated by two elements with a single defining relation: $BS(m,n) = \langle a, b | a^mb=ba^n\rangle$. The sum of dilates, denoted as $r \cdot A + s \cdot B$ for integers $r$ and $s$, is defined as …