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user 496640
0
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Ring structure on Brauer group
I believe the answer is simpler than I expected.
Since $\mu_n$ has a $\mathbb{Z}/n\mathbb{Z}$ action, the whole $H^2(K, \mu_n)$ inherits the structure of a module over that ring. This is the product s …
- 447
2
votes
1
answer
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Ring structure on Brauer group
Class field theory defines an isomorphism between the Brauer group of a finite extension of p-adic fields and a cyclic group with a canonical generator. This in turn defines an isomorphism of the Brau …
- 447