  We investigate the properties of the deconfinement transition in SU(4) and
SU(6) gauge theories. We find that it is a `normal' first order transition in
both cases, from which we conclude that the transition is first order in the
N->infinity limit. Comparing our preliminary estimates of the continuum values
of Tc/sqrt(K) with existing values for SU(2) and SU(3) demonstrates a weak
dependence on N for all values of N.
