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On Quadratic Subextensions of Ray Class Fields of Quadratic Fields mod p

✍ Scribed by Fuminori Kawamoto

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 290 KB
Volume: 86
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.2000.2553

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✦ Synopsis

Let F be a quadratic field and p a prime ideal in F. Then we ask whether the ray class field of F mod p has a normal integral basis over F. We see many differences between our case and the case where the base field F is the field of rational numbers.

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On Quadratic Subextensions of Ray Class Fields of Quadratic Fields mod&#xa0;p

✦ Synopsis

On Quadratic Subextensions of Ray Class Fields of Quadratic Fields mod p