Equality of norm groups of subextensions of Sn(n 5) extensions of algebraic number fields

Let E/k be a Galois extension of algebraic number fields with the Galois group isomorphic to the symmetric group Sn on n 5 letters. For any field extensions k K, L E a necessary and a sufficient condition is given for the equality NK/kK*=NL/kL* to hold, where NK/kK* is the group of norms from K to k of the elements of the multiplicative group K* of K.