A Generic Polynomial for the Alternating Group A₅

2012/10/17 by Gene Ward Smith, Smith, Gene Ward
Mathematics · Physics and Astronomy · #12F12 #13A50 #15A72 #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #FOS: Mathematics #Nonlinear Waves and Solitons #Number Theory (math.NT) #math.NT #msc:12F12 #msc:13A50 #msc:15A72

paper · pdf · doi:10.48550/arxiv.1210.4991

arxiv created 2012/10/17 · openalex publication_date 2012/10/17 · arxiv updated 2012/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The methods of classical invariant theory are used to construct generic polynomials for groups S₅ and A₅, along with explicit reductions to specializations of the generic polynomials defining any desired field extension with those groups.

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