𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Computing with Subfields
✍ M DABERKOW 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 483 KB

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 Discriminants of Subfields
✍ Trajano Pires da Nóbrega Neto; J.Carmelo Interlando; José Othon Dantas Lopes 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 105 KB

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

On the Closed Subfields ofCp
✍ Victor Alexandru; Nicolae Popescu; Alexandru Zaharescu 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 442 KB

The so called ``p-adic analog of the field of complex numbers'' C p (see [6,7,21]) seems to be a very interesting object to study, both from an algebraic and an analytic point of view. Particularly interesting are its closed subfields. A first account on them can be find in [7] (see also [14] and es

Fuzzy subfields
✍ D.S. Malik; John N. Mordeson 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 265 KB