  We report exact numerical diagonalization results of the infinite-range Ising
spin glass in a transverse field $\Gamma$ at zero temperature. Eigenvalues and
eigenvectors are determined for various strengths of $\Gamma$ and for system
sizes $N \le 16$. We obtain the moments of the distribution of the spin-glass
order parameter, the spin-glass susceptibility and the mass gap at different
values of $\Gamma$. The disorder averaging is done typically over 1000
configurations. Our finite size scaling analysis indicates a spin glass
transition at $\Gamma_c \simeq 1.5$. Our estimates for the exponents at the
transition are in agreement with those known from other approaches. For the
dynamic exponent, we get $z=2.1 \pm 0.1$ which is in contradiction with a
recent estimate ($z=4$). Our cumulant analysis indicates the existence of a
replica symmetric spin glass phase for $\Gamma < \Gamma_c$.
