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| Author(s) | Savin, Diana |
|---|
Artin symbol of the Kummer fields
Diana Savin
Abstract
creative_2007_16_063_069_abstractFull PDF
creative_2007_16_063_069Let l and p be odd prime distinct natural numbers, ξ be a primitive root of order l of unity. It is known that the field extension Q(ξ) ⊂ Q(ξ, √l p) is a Galois extension. In this article we study the Artin symbol in the Galois group G Q(ξ, √l p)/Q(ξ) .
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