FINITE SUBGROUPS IN INTEGRAL GROUP-RINGS

A p-subgroup version of the conjecture of Zassenhaus is proved for som e finite solvable groups including solvable groups in which any Sylow p-subgroup is either abelian or generalized quaternion, solvable Frobe nius groups, nilpotent-by-nilpotent groups and solvable groups whose o rders are not divisible by the fourth power of any prime.