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The Discriminant of a Dihedral Quintic Field Defined by a Trinomial $X^5 + aX + b$

  Published:2002-03-01
 Printed: Mar 2002
  • Blair K. Spearman
  • Kenneth S. Williams
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Abstract

Let $X^5 + aX + b \in Z[X]$ have Galois group $D_5$. Let $\theta$ be a root of $X^5 + aX + b$. An explicit formula is given for the discriminant of $Q(\theta)$.
Keywords: dihedral quintic field, trinomial, discriminant dihedral quintic field, trinomial, discriminant
MSC Classifications: 11R21, 11R29 show english descriptions Other number fields
Class numbers, class groups, discriminants
11R21 - Other number fields
11R29 - Class numbers, class groups, discriminants
 

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