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We develop methods for computing the restriction map from the cohomology of the automorphism group of a height d n formal group law (ie the height d n Morava stabilizer group) to the cohomology of the automorphism group of an A –height n formal A –module, where A is the ring of integers in a degree d field extension of ℚ p.We then compute this map for the quadratic extensions of ℚ p

[7] Ohio State University, 43210, Columbus, Ohio. Stephen Rallis. Authors.