Set T = Zp Clause Samples

Set T = Zp. (1). In this case, the second and third cohomology groups of C(T ) were explicitly computed in [5, (10)] as follows. If we write MF,S for the maximal abelian pro-p extension of F in Fc that is unramified outside S and set GF,S := Gal(MF,S/F ), then one has H2(C(T )) = GF,S and H3(C(T )) = Zp.