Group Cohomology of the Universal Ordinary Distribution
نویسنده
چکیده
Abstract. For any odd squarefree integer r, we get complete description of the Gr = Gal(Q(μr)/Q) group cohomology of the universal ordinary distribution Ur in this paper. Moreover, if M is a fixed integer which divides l−1 for all prime factors l of r, we study the cohomology group H(Gr, Ur/MUr). In particular, we explain the mysterious construction of the elements κr′ for r |r in Rubin[10], which come exactly from a certain Z/MZ-basis of the cohomology group H(Gr, Ur/MUr) through an evaluation map.
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