  Let $G$ be a finitely generated group, and let $\Bbbk{G}$ be its group
algebra over a field of characteristic $0$. A Taylor expansion is a certain
type of map from $G$ to the degree completion of the associated graded algebra
of $\Bbbk{G}$ which generalizes the Magnus expansion of a free group. The group
$G$ is said to be filtered-formal if its Malcev Lie algebra is isomorphic to
the degree completion of its associated graded Lie algebra. We show that $G$ is
filtered-formal if and only if it admits a Taylor expansion, and derive some
consequences.
