Origin of Correlations between Central Black Holes Masses and Galactic   Bulge Velocity Dispersions
  We argue that the observed correlations between central black holes masses M_{BH} and galactic bulge velocity dispersions \sigma_e in the form M_{BH}\propto\sigma_e^4 may witness on the pregalactic origin of massive black holes. Primordial black holes would be the centers for growing protogalaxies which experienced multiple mergers with ordinary galaxies. This process is accompanied by the merging of black holes in the galactic nuclei. 
V.I. Dokuchaev, Yu.N. Eroshenko (Institute for Nuclear Research of the   Russian Academy of Sciences)