The Finite P-groups Of Being The Frobenius Kernel

Assume that G is a finite group and 1≠H is a subgroup of G.G is called a Frobenius group if H∩Hg=1 for all 9∈G\H.H is called Frobenius complement and N=G-∪(Hg-g-{1})is called Frobenius kernel.In this paper,the groups that can act as the Frobenius kernel are determined for those groups of order p3 and p4,and minimal nonabelian p-groups.