  Model of supermassive black holes formation inside the clusters of primordial
black holes is developed. Namely, it is supposed, that some mass fraction of
the universe ~10^-3 is composed of the compact clusters of primordial (relic)
black holes, produced during phase transitions in the early universe. These
clusters are the centers of dark matter condensation. We model the formation of
protogalaxies with masses about 2*10^8M_sun at the redshift z=15. These induced
protogalaxies contain central black holes with mass ~10^5M_sun and look like
dwarf spheroidal galaxies with central density spike. The subsequent merging of
induced protogalaxies and ordinary dark matter haloes corresponds to the
standard hierarchical clustering scenario of large-scale structure formation.
The coalescence of primordial black holes results in formation of supermassive
black holes in the galactic centers. As a result, the observed correlation
between the masses of central black holes and velocity dispersion in the
galactic bulges is reproduced.
