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Finitely generated pro-p-groups as Galois groups of maximalp-extensions of function fields over ℚq

✍ Scribed by Christian U. Jensen; Alexander Prestel


Book ID
110558739
Publisher
Springer
Year
1996
Tongue
English
Weight
671 KB
Volume
90
Category
Article
ISSN
0025-2611

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The Exponent 2-Class-Group Problem for N
✍ 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