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Infinite Families of A4-Sextic Polynomials
Published online by Cambridge University Press: 20 November 2018
Abstract
In this article we develop a test to determine whether a sextic polynomial that is irreducible over $\mathbb{Q}$ has Galois group isomorphic to the alternating group
${{A}_{4}}$. This test does not involve the computation of resolvents, and we use this test to construct several infinite families of such polynomials.
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- Research Article
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- Copyright © Canadian Mathematical Society 2014
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