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Timeline for Galois stability of characters

Current License: CC BY-SA 3.0

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Jul 10, 2017 at 1:15 comment added user111815 There seems to be a key misunderstanding. The hypothesis is $S$ being $G_{\mathbb{Q}}$-stable i.e. $\chi^{\sigma} \in S$ for $\chi \in S$ and $\sigma \in G_{\mathbb{Q}}$. This need not (and typically does not) mean $\chi^{\sigma}$ equals $\chi$.
Jul 9, 2017 at 19:48 history answered Glasby CC BY-SA 3.0