  H. Miyachi and W. Turner have independently proved that Broue's Abelian
Defect Group Conjecture holds for certain unipotent blocks of the finite
general linear group, the so-called Rouquier blocks. This together with A.
Marcus and J. Chuang and R. Rouquier proves that the conjecture holds for all
blocks of such groups. We prove that other finite classical groups also possess
unipotent Rouquier blocks at linear primes.
