  The Baumslag-Solitar group $BS(2,3)$, is a so-called non-Hopfian group,
meaning that it has an epimorphism $\phi$ onto itself, that is not injective.
In particular this is equivalent to saying that $BS(2,3)$ has a non-trivial
quotient that is isomorphic to itself. As a consequence the Cayley graph of
$BS(2,3)$ has a quotient that is isomorphic to itself up to change of
generators. We describe this quotient on the graph-level and take a closer look
at the most common epimorphism $\phi$. We show its kernel is a free group of
infinite rank with an explicit set of generators. Finally we show how $\phi$
appears as a morphism on fundamental groups induced by some continuous map.
This point of view was communicated to the author by Gilbert Levitt.
