چکیده (انگلیسی):

For G =PSL (2, pf) denote by ZG the integral group ring over G and by V(ZG)the group of units of augmentation 1 in ZG. Let r be a prime different from p. Using the so-called He LP-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, if p =2or f=1.