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Sur la construction d'un corps de Hilbert

✍ Scribed by Aboubakr Lbekkouri

Publisher
Springer
Year
1989
Tongue
English
Weight
779 KB
Volume
65
Category
Article
ISSN
0025-2611

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✍ Caroline Thiebaud 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 239 KB

The aim of this note is to generalize the Principal Ideal Theorem to the genus field of an abelian extension of a quadratic imaginary field k. We use the complex multiplication theory to find explicit generators for ambiguous ideals in the genus field of some abelian extensions of k. ## 2000 Academ