  The primary cosmic rays particles with energies above 10**20 eV have been
observed at many extensive air shower arrays since the beginning of
observations over 40 years ago. The validity of measurements of signal s(600)
used as energy estimation parameter at the Yakutsk array has been confirmed.
Our calculations show that the width of the time pulses increases from nearly
100 ns at a distance of 100 m from the shower axis up to 4 - 5 $\mu$s at 1500
m. The calculated estimate of energy of extensive air shower is ~ 1.7 times
smaller than the experimental estimate for the same value s(600). The pointing
directions of extensive air showers observed at the Pierre Auger Observatory
were fitted within +-3.1**o with positions of the nearby active galactic nuclei
from the Veron-Cetty and P. Veron catalog. The cosmic ray luminosity of the
active galactic nuclei which happened to be a source of the particular cosmic
ray event constitutes a fraction ~10**-4 of the optical one if only cosmic ray
particles with energies above 6*10**19 eV are produced. If produced cosmic ray
particles have a spectrum up to ~ 100 GeV then the cosmic ray luminosity of the
active galactic nuclei should be much higher than the optical one.
