  The time-harmonic Maxwell equations at high wavenumber $k$ are discretized by
edge elements of degree $p$ on a mesh of width $h$. For the case of a ball and
exact, transparent boundary conditions, we show quasi-optimality of the
Galerkin method under the $k$-explicit scale resolution condition that a)
$kh/p$ is sufficient small and b) $p/\log k$ is bounded from below.
