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Results tagged with galois-cohomology
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user 2284
16
votes
Accepted
How is etale cohomology of integer rings related to Galois cohomology?
By usual (sometimes not so trivial) homological arguments, one can reduce to the case where $M$ is a finite discrete module over an artinian ring of residual characteristic $p$. In that case, I think …
- 10k
3
votes
Accepted
Why does $H^1(G_p/I_p,\mathbb{F}(\delta\epsilon^{-1}))$ vanish?
A variant of David Loeffler's answer...
If more generally $V$ is a $G_{\mathbb Q_{p}}$-representation with coefficients in a field, then the dimension of $H^{1}(G_{p}/I_{p},V)$ (EDIT : or rather $H^{ …
- 10k
12
votes
Iwasawa main conjectures vs Bloch-Kato conjectures
If I understand your question properly, then I think much is known. Let me sum up what I understand about this picture.
First a short answer to your question. Contrary to what you ask for, it is not …
- 10k