A Rigid Local System with Monodromy Group 2.J₂
classification
🧮 math.NT
keywords
grouplocalmonodromyrigidsystemaffinearithmeticcharacteristic
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We exhibit a rigid local system of rank six on the affine line in characteristic $p=5$ whose arithmetic and geometric monodromy groups are the finite group $2.J_2$ ($J_2$ the Hall-Janko sporadic group) in one of its two (Galois-conjugate) irreducible representation of degree six.
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