The Minimal Euclidean Norm of an Algebraic Number Is Effectively Computable

On an Obstruction to the Hasse Norm Prin

On an Obstruction to the Hasse Norm Principle and the Equality of Norm Groups of Algebraic Number Fields

✍ Leonid Stern 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 214 KB

Let LÂk and TÂk be finite extensions of algebraic number fields. In the present work we introduce the factor group of k\* & N LÂk J L N TÂk J T by (k\* & N TÂk J T ) N LÂk L\*, where J L and J T are the idele groups of L and T, respectively. The main theorem shows that the computation of this factor