  The paper presents some exact solutions of Bianchi types I, III and
Kantowski-Sachs cosmological models consisting of a dissipative fluid along
with an axial magnetic field. A barytropic equation of state between the
thermodynamic pressure and the matter density, together with a pair of linear
relations between the matter density, the shear scalar, and the expansion
scalar have been assumed for simplicity. The solutions are basically of two
different types, one for the Bianchi-I and the other for Bianchi-III and
Kantowski-Sachs type. The presence of the magnetic field, however, does not
change the fundamental nature of the initial singularity.
