  We present numerical results for the deconfinement phase transition in Sp(2)
and Sp(3) Yang-Mills theories in (2+1)-D and (3+1)-D. We then make a conjecture
on the order of this phase transition in Yang-Mills theories with general Lie
groups G = SU(N), SO(N), Sp(N) and with exceptional groups G = G(2), F(4),
E(6), E(7), E(8).
