For a finite group G, let Z~ be the semilocalization of
Z at the prime divisors of β£Gβ£. If G is a Frobenius group with
Frobenius kernel K, it is shown that each torsion unit in the group ring
Z~G which maps to the identity under the natural ring
homomorphism Z~GβZ~G/K is
conjugate to an element of G by a unit in Z~G.Comment: 8 page