Given p a rational prime, n a positive integer,  a cyclic extension of degree  so that  Let  denote the irreducible polynomial of A over K. For a positive integer u, consider the polynomial  where    Let W denote the splitting field of  For   is a Kummer extension of degree for some In [1], Albert asked: How do we choose A in such a way that In this paper, we find the necessary and sufficient conditions on A so that particularly, for we discuss the case  

Kummer extensions, radical extensions, p-groups.