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The illumination conjecture and its extensions

✍ Scribed by Károly Bezdek

Book ID
106454309
Publisher
Springer Netherlands
Year
2006
Tongue
English
Weight
159 KB
Volume
53
Category
Article
ISSN
0031-5303

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✍ Andrea Bandini 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 167 KB

Let p be an odd prime. Let k be an algebraic number field and let k be the compositum of all the Z p -extensions of k, so that Gal( k/k) Z d p for some finite d. We shall consider fields k with Gal(k/Q) (Z/2Z) n . Building on known results for quadratic fields, we shall show that the Galois group of