  After a proper definition of the dimerization order parameter for a spin-$S$
system, I show that this order parameter in the $SU(n)$ ($n=2S+1$)
antiferromagnetic chains (or equivalently the $SU(2)$ spin-$S$ chains with
Hamiltonians which project out singlet states) is, in the thermodynamic limit,
directly proportional to the staggered-magnetization in the corresponding
spin-$1\over2$ $XXZ$ chains which had already been mapped onto the $SU(n)$
chains.
