  In this paper, we prove the K-theoretical and L-theoretical Farrell-Jones
Conjecture with coefficients in an additive category for nearly
crystallographic groups of the form $\mathbb{Q}^n \rtimes \mathbb{Z}$, where
$\mathbb{Z}$ acts on $\mathbb{Q}^n$ as an irreducible integer matrix with
determinant $d$, $|d |>1$.
