The nonquadratic imaginary cyclic fields of 2-power degrees with class numbers equal to their genus class numbers
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- by Stéphane Louboutin PDF
- Proc. Amer. Math. Soc. 127 (1999), 355-361 Request permission
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 $2$-power degrees with class numbers equal to their genus class numbers.References
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Additional Information
- Stéphane Louboutin
- Affiliation: Université de Caen, UFR Sciences, Département de Mathématiques, 14032 Caen cedex, France
- Email: loubouti@math.unicaen.fr
- Received by editor(s): January 31, 1997
- Received by editor(s) in revised form: May 28, 1997
- Communicated by: William W. Adams
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 355-361
- MSC (1991): Primary 11R20, 11R29; Secondary 11R42
- DOI: https://doi.org/10.1090/S0002-9939-99-04548-7
- MathSciNet review: 1468198