  We present new data on the globular cluster system of the elliptical galaxy
NGC 3923 which show that it has the most globular clusters per unit luminosity
of any non-cluster elliptical yet observed, with $S_N=6.4 \pm1.4$. NGC 3923 is
also among the brightest ellipticals outside of a galaxy cluster for which the
number of globular clusters has been determined. Our observation of a large
number of clusters per unit luminosity (high $S_N$ value) for a bright
elliptical in a sparse environment is consistent with the suggestion of
Djorgovski \& Santiago that the number of globular clusters is a power law
function of the luminosity with an exponent greater than one. We relate this
higher specific frequency of globular clusters in more luminous galaxies to
other observations which indicate that the physical conditions within
elliptical galaxies at the time of their formation were dependent on galaxy
mass.
