An upper limit for BR(Z(0) --> 3g) is obtained from a correlation meth
od, which distinguishes statistically between quark and gluon jets by
using the difference in their charged particle multiplicity distributi
ons. From the sample of threefold symmetric three-jet events collected
by the DELPHI experiment at LEP during 1991-1994, the 95% confidence
level upper limit is deduced to be: BR(Z(0) --> 3g) less than or equal
to 1.6 x 10(-2) for the JADE and BR(Z(0) --> 3g) less than or equal t
o 1.5 x 10(-2) for the DURHAM jet-finder.