The inverse Galois problem for PSL₂(F_p)
classification
🧮 math.NT
keywords
galoisgroupactioncohomologyellipticetaleextensionextensions
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We show that the simple group PSL_2(F_p) occurs as the Galois group of an extension of the rationals for all primes p>3. We obtain our Galois extensions by studying the Galois action on the second etale cohomology groups of a specific elliptic surface.
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