  Based on the expectation generated by the discovery of new particles by
current colliders, we analyze the decay of the Z' boson in the frame of one of
the SU(3)L \otimes U(1)N electroweak extensions of the standard model. The main
objective is calculate the decay rate of this exotic boson in the
aforementioned model at the tree level. With this purpose we need to develop
the gauge sector, where we find thirty-three interaction terms. Mentioned
particle (Z') has not yet been observed experimentally, but a large number of
models predict its existence. This boson exhibits a variety of decay channels,
but we will concentrate on the bosonic sector, in particular in the new charged
vector bosons V \pm and doubly charged U \pm\pm as final products, because
these are special features of the model. On the other hand, we would like to
remark that this model does not account for the Z' W W vertex although this
decay channel is considered one of the main ways to detect the Z' boson in the
Tevatron.
