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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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The class number one problem for the normal CM-fields of degree 32
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by Sun-Mi Park, Hee-Sun Yang and Soun-Hi Kwon PDF
Trans. Amer. Math. Soc. 359 (2007), 5057-5089 Request permission

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.
References
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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
  • Received by editor(s): May 6, 2004
  • Received by editor(s) in revised form: September 30, 2005
  • Published electronically: April 16, 2007
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 359 (2007), 5057-5089
  • MSC (2000): Primary 11R29; Secondary 11R21
  • DOI: https://doi.org/10.1090/S0002-9947-07-04219-5
  • MathSciNet review: 2320660