𝔖 Bobbio Scriptorium
✦   LIBER   ✦

ℚ of galois 2-extensions

✍ Scribed by Helen G. Grundman; David B. Leep; Tara L. Smith


Book ID
110672292
Publisher
The Hebrew University Magnes Press
Year
2002
Tongue
English
Weight
351 KB
Volume
130
Category
Article
ISSN
0021-2172

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Galois 2-extensions unramified outside 2
✍ John Jossey 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 187 KB

We classify quadratic, biquadratic and degree 4 cyclic 2-rational number fields. We also classify those quadratic number fields which are not 2-rational, but have a degree 2 extension, which is Galois over Q and is 2-rational. In this case we explicitly describe the Galois group of their maximal pro

The Least Nonsplit Prime in Galois Exten
✍ Jeffrey D Vaaler; José Felipe Voloch 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 141 KB

Let k be a Galois extension of Q with [k : Q]=d 2. The purpose of this paper is to give an upper bound for the least prime which does not split completely in k in terms of the degree d and the discriminant 2 k . Our estimate improves on the bound given by Lagarias et al. [3]. We note, however, that