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Results tagged with galois-cohomology
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user 18238
3
votes
Leopoldt's conjecture and cup-products
I think your cup-product is always zero independently of Leopoldt (at least if $\chi$ is of finite order). Consider $\mathbb{Z}_p$-coefficients instead (enough by Neukirch-Schmidt-Wingberg, 2.3.10). I …
- 5,600
1
vote
Brauer group of complete DVR
I think an even easier answer (although it should more or less boil down to Ekedahl's) is to apply snake lemma to the following diagram - noting that the middle vertical arrow is an isomorphism
$$
0\t …
- 5,600
23
votes
Accepted
Proof of Prop 1.1 in Wiles' "Modular elliptic curves and Fermat's last theorem"
Well, although there is a typo (Wiles forgot to close his parenthesis, and wrote $H^2(G,\mu_{p^r}\to H^2(G,\mu_{p^s})$ in his proof), his claim is correct. Let, as ibid. $F$ be the finite extension of …
- 5,600