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The nonquadratic imaginary cyclic fields of |
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| Authors: | Sté phane Louboutin |
| Institution: | Université de Caen, UFR Sciences, Département de Mathématiques, 14032 Caen cedex, France |
| Abstract: | It is known that there are only finitely many imaginary abelian number fields with class numbers equal to their genus class numbers. Here, we determine all the imaginary cyclic fields of  -power degrees with class numbers equal to their genus class numbers. |
| Keywords: | Genus field relative class number class number cyclic number field |
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