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Upper bounds on relative class numbers of cyclotomic fields

✍ Scribed by Louboutin, S.

Book ID: 125406711
Publisher: SP Versita
Year: 2014
Tongue: English
Weight: 153 KB
Volume: 64
Category: Article
ISSN: 0139-9918
DOI: 10.2478/s12175-013-0183-5

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We list all imaginary cyclotomic extensions ‫ކ‬ x, ⌳ r‫ކ‬ x with ideal class q M Ž x . q number equal to one. Apart from the zero genus ones, there are 17 solutions up to Ž . ‫ކ‬ x -isomorphism: 13 of them are defined over ‫ކ‬ and the 4 remainings are q 3 defined over ‫ކ‬ .