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Mild pro-p-groups and Galois groups of p-extensions of ℚ

✍ Scribed by Labute, John


Book ID
118741201
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2006
Tongue
English
Weight
283 KB
Volume
2006
Category
Article
ISSN
0075-4102

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Centralp-Extensions of (p, p,…,p)-T
✍ John R. Swallow 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 254 KB

Let p be a prime number, K a field with characteristic not p and containing the pth roots of unity, and ErK an abelian exponent p Galois extension. We prove explicit formulas for the construction of fields NrK with Galois group a central Ž . p-extension of Gal ErK . These formulas do not require the