A scheme of hybrid inflation is considered in the framework of the min
imal supersymmetric SU(5) model with an extra singlet. The relevant ro
le of the cubic term in the adjoint representation in the renormalizab
le superpotential is pointed out in order to have a quite wide region
of initial conditions compatible with inflation efficiency, monopole d
ensity dilution and perturbations constraint. (C) 1998 Elsevier Scienc
e B.V.