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Is there any standard notation for the Galois group of a polynomial $f$? I've been writing $\text{Gal}(f)$ but I've recently realised I probably just made that up. I know that you could denote the splitting field by $L/K$ and write $\text{Gal}(L/K)$ but I was wondering if there was a notation just in terms of $f$, which would be convenient.

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  • $\begingroup$ I think $\mathrm{Gal}(f)$ is fine If the smaller field $K$ is absolutely clear from the context^. Particularly if we can infer that $K$ is a prime field. $\endgroup$ – Jyrki Lahtonen Apr 8 '19 at 13:42
  • $\begingroup$ Yes I agree, I'm referring to the case where the field is clear. $\endgroup$ – AlephNull Apr 8 '19 at 13:46
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$\operatorname{Gal}(f)$ is standard.

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