Rigid local systems with monodromy group the Conway group
Abstract
We first develop some basic facts about hypergeometric sheaves on the multiplicative group in characteristic . Certain of their Kummer pullbacks extend to irreducible local systems on the affine line in characteristic . One of these, of rank in characteristic , turns out to have the Conway group , in its irreducible orthogonal representation of degree , as its arithmetic and geometric monodromy groups.
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