  The many-identical-particle quantum correlations are revisited utilizing the
machinery of basic group theory, especially that of the group of permutations.
It is done with the purpose to obtain precise definitions of effective distinct
particles, and of the limitations involved. Namely, certain restrictions allow
one to distinguish identical particles in the general case of N of them, and of
J clusters of effectively distinct particles, where N and J are arbitrary
integers (but 1<J<(N+1)). Mutually orthogonal, single-particle distinguishing
projectors (events or ptoperties), J of them, are the backbone of the
construction. The general results are exemplified by local quantum mechanics,
and by the case of nucleons. The former example suits laboratory experiments,
and a critical view of it is presented.
