The inverse Galois problem for PSL_2(F_p)

Published 15 Mar 2013 in math.NT | (1303.3646v1)

Abstract: 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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David Zywina

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