We are interested in [Special characters omitted.] ([straight phi] n X ), where [Special characters omitted.] (-) is the Lubin-Tate generalized cohomology theory and [straight phi] n is the Bousfield-Kuhn functor. To begin this project, we describe the unstable ring operations on [Special characters omitted.] (-), where D n is a faithfully flat Galois extension of E n . Then we determine the effect of [straight phi] n on these unstable ring operations.
For the case n = 1, we have a description of all unstable operations on K *(-; [Special characters omitted.] ). We determine the effect of the Bousfield-Kuhn functor [straight phi] 1 on the unstable operations on K *(-; [Special characters omitted.] ). This gives us a spectral sequence [Special characters omitted.] where L s is defined to be the non-abelian derived functors, [Special characters omitted.] , and Q is the indecomposables functor. We then use this spectral sequence to compute K *([straight phi] 1 S m ; [Special characters omitted.] ), when m > 2.