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arXiv · 1303.3646

The inverse Galois problem for PSL_2(F_p)

David Zywina
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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. 2013-03-15. The inverse Galois problem for PSL_2(F_p). https://doi.org/10.1215/00127094-3129271

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