  We establish exact results for the one-dimensional spin-orbital model for
special values of the four-spin interaction $V$ and dimerization parameter
$\delta$. The first exact result is at $\delta=1/2$ and $V=-2$. Because we find
a very small but finite gap in this dimerized chain, this can serve as a very
strong test case for numerical and approximate analytical techniques. The
second result is for the homogeneous chain with $V=-4$ and gives evidence that
the system has a spontaneously dimerized ground state. Numerical results
indicate that the interplay between dimerization and interaction could result
in gapless phases in the regime $0\leq V<-2$.
