On unit P-Groups in Group Algebra

Abstract:the aim of this paper we have define the group of units u(f(g)), where f(g) is the group algebra with g is finite group over a field f. now if char f=0 and g nonabelian or f is a nonabsolute field of characterstic pi > 0 and g/ o pi(g) is nonabelian, then it is well known that the group of unit u(k[g]) contains a nonabelain p-group.there for we will prove that there are two cyclic subgroups x and y of g of prime power order and units ux in u(k[x]) and uy in u(k[x]) such that (ux,uy) contain nonabelian p-subgroups in linear group.