  Let $\mathcal G$ denote the space of finitely generated marked groups. For
any finitely generated group $G$, we construct a continuous, injective map $f$
from the space of subgroups $Sub(G)$ to $\mathcal G$ that sends conjugate
subgroups to isomorphic marked groups; in addition, if $G$ is finitely
presented and $H\le G$ is finitely generated, then $f(H)$ is finitely
presented. This result allows us to transfer various topological phenomena
occurring in $Sub(G)$ to $\mathcal G$. In particular, we provide the first
example of a finitely presented group whose isomorphism class in $\mathcal G$
has no isolated points.
