Our studies of solid solutions PbzSn1-zTe doped with In have concentra
ted on checking for a superconducting transition in the temperature va
riation of both the resistivity and the magnetization and of an influe
nce on that behaviour of an applied magnetic field. The magnetization
of the samples was measured in a SQUID magnetometer using a small fiel
d (15 Oe) cooling method. We obtained the dependences of the supercond
ucting critical parameters as a function of the In concentration and t
he content of isovalent lead. The data for superconductivity correlate
with normal state properties and with an influence of the matrix comp
osition on the energy band position of the In states. We observed an e
nhancement of superconductivity when the Fermi level pinned by the In
impurity band enters the heavy hole Sigma-band.