  For any decomposition of a Lie superalgebra $\mathcal G$ into a direct sum
$\mathcal G=\mathcal H\oplus\mathcal E$ of a subalgebra $\mathcal H$ and a
subspace $\mathcal E$, without any further resctrictions on $\mathcal H$ and
$\mathcal E$, we construct a nonlinear realisation of $\mathcal G$ on $\mathcal
E$. The result generalises a theorem by Kantor from Lie algebras to Lie
superalgebras. When $\mathcal G$ is a differential graded Lie algebra, we show
that it gives a construction of an associated $L_\infty$-algebra.
