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On ray class annihilators of cyclotomic fields

✍ Scribed by C.-G. Schmidt

Publisher
Springer-Verlag
Year
1982
Tongue
English
Weight
575 KB
Volume
66
Category
Article
ISSN
0020-9910

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We list all imaginary cyclotomic extensions ‫ކ‬ x, ⌳ r‫ކ‬ x with ideal class q M Ε½ x . q number equal to one. Apart from the zero genus ones, there are 17 solutions up to Ε½ . ‫ކ‬ x -isomorphism: 13 of them are defined over ‫ކ‬ and the 4 remainings are q 3 defined over ‫ކ‬ .