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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The class number one problem for the normal CM-fields of degree 32


Authors: Sun-Mi Park, Hee-Sun Yang and Soun-Hi Kwon
Journal: Trans. Amer. Math. Soc. 359 (2007), 5057-5089
MSC (2000): Primary 11R29; Secondary 11R21
Published electronically: April 16, 2007
MathSciNet review: 2320660
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Abstract: We prove that there are exactly six normal CM-fields of degree 32 with class number one. Five of them are composita of two normal CM-fields of degree 16 with the same maximal totally real octic field.


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Additional Information

Sun-Mi Park
Affiliation: Department of Mathematics, Korea University, 136-701, Seoul, Korea
Email: smpark@korea.ac.kr

Hee-Sun Yang
Affiliation: Department of Mathematics, Korea University, 136-701, Seoul, Korea
Address at time of publication: Korea Minting and Security Printing Corporation, 54, Gwahakro, Yusong-Gu, 305-713 Daejon, Korea
Email: yanghs@komsco.com

Soun-Hi Kwon
Affiliation: Department of Mathematics Education, Korea University, 136-701, Seoul, Korea
Email: sounhikwon@korea.ac.kr

DOI: http://dx.doi.org/10.1090/S0002-9947-07-04219-5
PII: S 0002-9947(07)04219-5
Received by editor(s): May 6, 2004
Received by editor(s) in revised form: September 30, 2005
Published electronically: April 16, 2007
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.