Galois Module Structure in Ray Class Fields Over Quadratic Imaginary Number Fields

The Exponent 2-Class-Group Problem for N

The Exponent 2-Class-Group Problem for Non-Galois Over Q Quartic Fields That Are Quadratic Extensions of Imaginary Quadratic Fields

✍ S. Louboutin 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 350 KB

Focusing on a particular case, we will show that one can explicitly determine the quartic fields \(\mathbf{K}\) that have ideal class groups of exponent \(\leqslant 2\), provided that \(\mathbf{K} / \mathbf{Q}\) is not normal, provided that \(\mathbf{K}\) is a quadratic extension of a fixed imaginar