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LE 2-RANG DU GROUPE DE CLASSES DE CERTAINS CORPS BIQUADRATIQUES ET APPLICATIONS

✍ Scribed by AZIZI, ABDELMALEK; MOUHIB, ALI

Book ID
120317191
Publisher
World Scientific Publishing Company
Year
2004
Tongue
English
Weight
248 KB
Volume
15
Category
Article
ISSN
0129-167X

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✍ Jean-Francois Jaulent; Florence Soriano-Gafiuk 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 340 KB

We compute the 2-rank of the wild kernel WK 2 ðF Þ of a number field by constructing a 2class group ad hoc. The main result generalizes in the more intricate case l ¼ 2 the canonical isomorphism l m F # Z f Cl Cl F C l WK 2 ðF Þ established for odd primes l under the assumption m l CF in a previous