Hot gluons are the dominant components of the QCD plasma to be formed
in future high energy heavy ion experiments. In this paper we study th
e elementary processes in the plasma medium for gluon multiplication b
ased on all orders of the tree diagrams in perturbative QCD. When appl
ying to the chemical equilibration in the expanding system, we found t
hat the gluon reaches chemical equilibrium well within its plasma phas
e. The inclusion of all the next-to-leading-order processes makes the
equilibration considerably faster than the simple gg <-> ggg one consi
dered previously.