2013/03/15 by David Zywina
Chemistry · Computer Science · Mathematics · #Abelian extension #Action (physics) #Algebra over a field #Algebraic Geometry and Number Theory #Chemistry #Cohomology #Differential Galois theory #Embedding problem #Fundamental theorem of Galois theory #Galois cohomology #Galois extension #Galois group #Galois module #Group (periodic table) #Group cohomology #Homotopy and Cohomology in Algebraic Topology #Mathematics #Physics #Polynomial and algebraic computation #Pure mathematics #Splitting of prime ideals in Galois extensions #math.NT #msc:11G05 #msc:12F12 #msc:14J27
paper · pdf · doi:10.1215/00127094-3129271
published as Duke Math. J. 164, no. 12 (2015), 2253-2292
arxiv created 2013/03/15 · openalex publication_date 2015/09/15 · arxiv updated 2015/11/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that the simple group PSL2(Fp) occurs as the Galois group of an extension of the rationals for all primes p≥5. We obtain our Galois extensions by studying the Galois action on the second étale cohomology groups of a specific elliptic surface.