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The Discriminant of a Dihedral Quintic Field Defined by a Trinomial X5 + aX + b
Published online by Cambridge University Press: 20 November 2018
Abstract
Let ${{X}^{5}}\,+\,aX\,+\,b\,\in \,Z\left[ X \right]$ have Galois group ${{D}_{5}}$. Let $\theta $ be a root of ${{X}^{5}}\,+\,aX\,+\,b$. An explicit formula is given for the discriminant of $Q\left( \theta \right)$.
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- Copyright © Canadian Mathematical Society 2002
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