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Calculating the Galois cohomology group $H^1(K_v, \, E[p^{\infty}])$

The corollary 3.4 of chapter 1 Arithmetic Duality theorems by Milne says that: If $K$ has char 0 local field, there is a canonical pairing $$H^r(K,A^t)\times H^{1-r}(K,A)\to \mathbb{Q}/{\mathbb{Z}}$$ …
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