  For G = PSL(2,p^f) denote by ZG the integral group ring, by V(ZG) the group
of normalized units of ZG and let r be a prime different from p. Using the so
called HeLP-method we prove, that units of r-power order in V(ZG) are
rationally conjugate to elements of G. As a consequence we prove, that
subgroups of prime power order in V(ZG) are rationally conjugate to subgroups
of G, provided p = 2 or f =1.
