Timeline for Isomorphism related to the first cohomology group
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| May 21, 2014 at 9:19 | answer | added | Alex B. | timeline score: 3 | |
| May 21, 2014 at 7:16 | comment | added | joaopa | Yes, I am sure that this isomorphism is true since this is a trivial consequence of the article Factorial groups and Polya groups in Galoisian extensions of Q, in Commutative Ring Theory and Applications, Lecture Notes in Pure and Applied Mathematics, vol. 231, pp. 77-86, Marcel Dekker, New York, 2003. But I would like to get a direct proof of this isomorphism | |
| May 21, 2014 at 7:06 | comment | added | Filippo Alberto Edoardo | Are you sure of this isomorphism? It sounds a bit strange in this generality: one a one hand, $\mathcal{O}_1^\times\times\mathcal{O}_2^\times$ is not isomorphic to the units of $L$ (to convince yourself, take $K_i$ to be totally real and compare $\mathbb{Z}$-ranks), and the inertia groups may very well not be cyclic...Do you have any reference where this is at least stated? | |
| May 21, 2014 at 1:59 | history | edited | joaopa | CC BY-SA 3.0 |
added 9 characters in body
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| May 21, 2014 at 1:53 | history | asked | joaopa | CC BY-SA 3.0 |