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A note on the normality of unramified, abelian extensions of quadratic extensions

✍ Scribed by Daniel J. Madden; William Yslas Vélez


Publisher
Springer
Year
1979
Tongue
English
Weight
236 KB
Volume
30
Category
Article
ISSN
0025-2611

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📜 SIMILAR VOLUMES


Unramified Quadratic Extensions of Real
✍ A Srivastav; S Venkataraman 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 320 KB

Let K=Q(-m) be a real quadratic number field. In this article, we find a necessary and sufficient condition for K to admit an unramified quadratic extension with a normal integral basis distinct from K(-&1), provided that the prime 2 splits neither in KÂQ nor in Q(-&m)ÂQ, in terms of a congruence sa

On Number Fields with an Unramified Abel
✍ Y.Z. Lan 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 315 KB

Assume that \(K\) is either a totally real or a totally imaginary number field. Let \(F\) be the maximal unramified elementary abelian 2-extension of \(K\) and \([F: K]=2^{n}\). The purpose of this paper is to describe a family of cubic cyclic extension of \(K\). We have constructed an unramified ab