| We are interested in E*n (&phis;nX), where E*n (-) is the Lubin-Tate generalized cohomology theory and &phis; n is the Bousfield-Kuhn functor. To begin this project, we describe the unstable ring operations on D0n (-), where Dn is a faithfully flat Galois extension of En. Then we determine the effect of &phis;n on these unstable ring operations.; For the case n = 1, we have a description of all unstable operations on K*(-; Zp ). We determine the effect of the Bousfield-Kuhn functor &phis; 1 on the unstable operations on K*(-; Zp ). This gives us a spectral sequence LsQqK* X;Zp t⇒Kt-s f1X;Zp where Ls is defined to be the non-abelian derived functors, Qq=Zp⊗ Zpq pQ - , and Q is the indecomposables functor. We then use this spectral sequence to compute K*(&phis;1 Sm; Zp ), when m > 2. |
