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Tamely ramified covers of the projective line with alternating and symmetric monodromy

Tamely ramified covers of the projective line with alternating and symmetric monodromy

Let $k$ be an algebraically closed field of characteristic $p$ and let $X$ the projective line over $k$ with three points removed. We investigate which finite groups $G$ can arise as the monodromy group of finite \'{e}tale covers of $X$ that are tamely ramified over the three removed points. This …