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On the class number of p-th cyclotomic field

✍ Scribed by J.-C. Puchta

Publisher: Springer
Year: 2000
Tongue: English
Weight: 54 KB
Volume: 74
Category: Article
ISSN: 0003-889X
DOI: 10.1007/s000130050441

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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 .