✦ LIBER ✦

Unramified extensions of quadratic fields

✍ Scribed by Wei Li; Dong Yang; Xianke Zhang

Book ID: 113855672
Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 105 KB
Volume: 18
Category: Article
ISSN: 1002-0071
DOI: 10.1016/j.pnsc.2007.11.005

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Maximal unramified 3-extensions of imagi

Maximal unramified 3-extensions of imaginary quadratic fields and

✍ Laurent Bartholdi; Michael R. Bush 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 131 KB

Unramified Quadratic Extensions of Real

Unramified Quadratic Extensions of Real Quadratic Fields, Normal Integral Bases, and 2-AdicL-Functions

✍ 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 the maximal p-extensions of real quad

On the maximal p-extensions of real quadratic fields unramified outside p

✍ Keiichi Komatsu 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 459 KB

On the unramified Kummer extensions of q

On the unramified Kummer extensions of quadratic extensions of the prime cyclotomic number field

✍ Norikata Nakagoshi 📂 Article 📅 1991 🏛 Springer 🌐 English ⚖ 216 KB

The Maximal Unramified Extensions of the

The Maximal Unramified Extensions of the Imaginary Quadratic Number Fields with Class Number Two

✍ Ken Yamamura 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 290 KB

The maximal unramified extensions of the imaginary quadratic number fields with class number two are determined explicitly under the Generalized Riemann Hypothesis.

On the maximal unramified pro-2-extensio

On the maximal unramified pro-2-extension of Z2-extensions of certain real quadratic fields

✍ Yasushi Mizusawa 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 230 KB

In this paper, we construct an infinite family of real quadratic fields k such that the maximal unramified pro-2-extension of the cyclotomic Z 2 -extension of k is a finite non-abelian extension.