Cyclic extensions of prime power degree and corresponding residue systems

Abstract

Let K and K′ be number fields and K = K ⋔ K′. Suppose K F and K′ F are cyclic of prime power degree p n , and let E F and E′ F denote the respective sub-extensions of degree p. We show that R(K,K′) [K:E]= M(E,E′)