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15 September 2015 The inverse Galois problem for PSL2(Fp)
David Zywina
Duke Math. J. 164(12): 2253-2292 (15 September 2015). DOI: 10.1215/00127094-3129271

Abstract

We show that the simple group PSL2(Fp) occurs as the Galois group of an extension of the rationals for all primes p5. We obtain our Galois extensions by studying the Galois action on the second étale cohomology groups of a specific elliptic surface.

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David Zywina. "The inverse Galois problem for PSL2(Fp)." Duke Math. J. 164 (12) 2253 - 2292, 15 September 2015. https://doi.org/10.1215/00127094-3129271

Information

Received: 31 May 2013; Revised: 10 October 2014; Published: 15 September 2015
First available in Project Euclid: 16 September 2015

zbMATH: 1332.12007
MathSciNet: MR3397386
Digital Object Identifier: 10.1215/00127094-3129271

Subjects:
Primary: 12F12
Secondary: 11G05, 14J27

Rights: Copyright © 2015 Duke University Press

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Vol.164 • No. 12 • 15 September 2015
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