We investigate theoretically the Zeeman effect on the lowest confined subba
nds in wurtzite heterostructures. The powerful approach suggested recently
for zincblende-based nanostructures is extended to a new symmetry class and
analytical expressions are derived for the first time for the g-factors in
the technologically important nitride-based quantum wells and A(II)B(VI) h
eterostructures, in the framework of the quasi-cubical Kane model. In our c
alculation we make allowance for the strain in heterolayers and huge intern
al electric fields due to spontaneous polarization and lattice-constant mis
match between the compositional materials.