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A normal integral basis Theorem

✍ Scribed by Alexander Sze

Book ID: 107774452
Publisher: Elsevier Science
Year: 1980
Tongue: English
Weight: 242 KB
Volume: 66
Category: Article
ISSN: 0021-8693
DOI: 10.1016/0021-8693(80)90103-9

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Let p be an odd prime number, K an imaginary abelian field with z p 2 K Â ; and K 1 =K the cyclotomic Z p -extension with its nth layer K n : In the previous paper, we showed that for any n and any unramified cyclic extension L=K n of degree p; LK nþ1 =K nþ1 does have a normal integral basis (NIB) e