Relations on Iterated Reduced Powers
José Adem · Proceedings of the National Academy of Sciences · 1953
In this note we present the generalization of the relations on iterated squares' to the case of iterated cyclic reduced powers of arbitrary prime period p.As in the case p = 2, the new relations are used to solve some particular problems.Throughout this paper we will use the definitions and notation recently introduced by Steenrod.2 1.For any complex K and odd prime p, the cyclic reduced power oper- ations are homomorphism (8, (s = 0, 1, . . . ),9 P:H"(K; Zp,) --.Hg+28(P-1) (K; Z )