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Jun 22, 2021 at 19:33 comment added Alphonse Just a note for myself: given any $\tau \in Gal(L / \Bbb Q)$, the set $\{\tau \circ \sigma_i\}_i$ is a permutation of the $\{\sigma_i\}$, so that we have the dichotomy in (2).
May 18, 2013 at 22:55 comment added Dietrich Burde @darij: sorry, you are right.
May 18, 2013 at 22:54 history edited Dietrich Burde CC BY-SA 3.0
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May 18, 2013 at 22:04 comment added darij grinberg I am not convinced of (1). (The Holden proof sidesteps this completely by only using that $P$ and $N$ lie in $K^{\mathrm{gal}}$.
May 18, 2013 at 18:44 history edited Dietrich Burde CC BY-SA 3.0
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May 18, 2013 at 18:11 comment added Pritam Majumder Can you please tell how do you prove your first and second claim ?
May 18, 2013 at 17:58 history edited Dietrich Burde CC BY-SA 3.0
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May 18, 2013 at 17:52 history answered Dietrich Burde CC BY-SA 3.0