  We determine both the semigroup and spectral properties of a group of
weighted composition operators on the Little Bloch space. It turns out that
these are strongly continuous groups of invertible isometries on the Bloch
space. We then obtain the norm and spectra of the infinitesimal generator as
well as the resulting resolvents which are given as integral operators. As
consequences, we complete the analysis of the adjoint composition group on the
predual on the nonreflexive Bergman space, and a group of isometries associated
with a specific automorphism of the upper half plane.
