Even icosahedral Galois representations of prime conductor

2004/05/27 by Darrin Doud, Doud, Darrin, Michael W. Moore +1
Mathematics · #11F80 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #math.NT #msc:11F80

paper · pdf · doi:10.48550/arxiv.math/0405534

arxiv created 2004/05/27 · openalex publication_date 2004/05/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we use a series of targeted Hunter searches to prove that the minimal prime conductor of an even icosahedral Galois representation is 1951. In addition, we give a complete list of all even icosahedral Galois representations of prime conductor less than 10,000.

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