For a given sequence of integers n_i (i runs from 1 to the
infinity) we consider all the central simple algebras $A$
(over all fields) satisfying the condition "index of the i-th
tensor power of A equals n_i" and find among them an algebra
having the biggest torsion in the second Chow group CH^2 of
the corresponding Severi-Brauer variety ("biggest" means that
it can be mapped epimorphically onto each other).
We describe this biggest torsion in a way in general and more
explicitly in some important special situations. As an appli-
cation we prove indecomposability of certain algebras.
This paper has been replaced by this one.