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Sep 11, 2017 at 0:33 history edited Will Chen CC BY-SA 3.0
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Sep 10, 2017 at 23:50 comment added Vesselin Dimitrov (Sorry, this is Proposition 5.3, not 5.7, of that paper. Also, by 'Galois group' here I mean the group of the Galois closure of the covering. That means your more precise condition in the first display is indeed right in the case of a Galois covering.)
Sep 10, 2017 at 23:49 history edited Will Chen CC BY-SA 3.0
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Sep 10, 2017 at 23:27 history edited Will Chen CC BY-SA 3.0
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Sep 10, 2017 at 23:21 comment added Vesselin Dimitrov (And you actually need the strict inequality $p > n$ in your first display.)
Sep 10, 2017 at 23:18 comment added Vesselin Dimitrov The more precise condition is that $p$ does not divide the order of the Galois group (which in turn divides $n!$). Did any of the places that gave this statement make a reference to the paper [Ramified primes in the field of moduli of branched coverings of curves, J. Algebra, 1989] by Sybilla Beckmann? It should be possible to read this from Corollary 5.7 at the very end of her paper.
Sep 10, 2017 at 22:54 history edited Will Chen CC BY-SA 3.0
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Sep 10, 2017 at 21:59 history edited Will Chen CC BY-SA 3.0
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Sep 10, 2017 at 21:50 history asked Will Chen CC BY-SA 3.0