The algorithms presented here make use of subfield information to improve computations. For the three problems we deal with in this paper, the solution of relative norm equations, computation of independent units in the Galois closure of quartic fields and the computation of relative integral bases
On Computing Subfields
✍ Scribed by Jürgen Klüners; Michael Pohst
- Book ID
- 102604473
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 447 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0747-7171
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The conductor-discriminant formula, namely, the Hasse Theorem, states that if a number field K is fixed by a subgroup H of GalðQðz n Þ=QÞ; the discriminant of K can be obtained from H by computing the product of the conductors of all characters defined modulo n which are associated to K: By calculat
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