We show that omega (B) or omega ((B) over bar), the squared baryon or antib
aryon number fluctuation per baryon or antibaryon, is a possible signature
for the quark-gluon plasma that is expected to be created in relativistic h
eavy ion collisions, as it is a factor of 3 smaller than in an equilibrated
hadronic matter due to the fractional baryon number of quarks. Using kinet
ic equations with exact baryon number conservation, we find that their valu
es in an equilibrated matter are half of those expected from a Poisson dist
ribution. Effects due to finite acceptance and nonzero net baryon number ar
e also studied.