  The existence of an intergalactic globular cluster population in the Coma
cluster of galaxies has been tested using surface-brightness fluctuations. The
main result is that the intergalactic globular cluster surface density ($N_{\rm
IGC}$) does not correlate with the distance to the center of Coma and hence
with the environment. Furthermore, comparing these results with different Coma
mass-distribution model predictions, it is suggested that $N_{\rm IGC}$ must in
fact be zero all over Coma. On the other hand, the results for $N_{\rm IGC}$
and the faint end of the galaxy number counts (beyond $m_R=23.5$) are
connected. So $N_{\rm IGC}=0$ settles the slope of this function, which turns
out to be $\gamma=0.36\pm0.01$ down to $m_R=26.5$.
  The fact that $N_{\rm IGC}=0$ all over Coma suggests that globular clusters
were formed only, or almost only, from protogalactic clouds. None, or perhaps
very few, could have formed in isolated regions. It also seems inappropriate to
advocate a relationship between intergalactic globular clusters and dark matter
distributions, although it is true that the relationship could still exist but
not be strong enough to have been detected. Finally, since our conclusion is
that intergalactic globular clusters do not exist in Coma, accretion of
intergalactic globular clusters might not be significant in galaxy formation
and evolutionary processes in the Coma galaxies.
