Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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HILBERT 3-CLASS FIELD TOWERS OF IMAGINARY CUBIC FUNCTION FIELDS

  • Jung, Hwanyup (Department of Mathematics Education Chungbuk National University)
  • Received : 2012.10.29
  • Accepted : 2013.01.11
  • Published : 2013.02.15
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Abstract

In this paper we study the infiniteness of the Hilbert 3-class field tower of imaginary cubic function fields.

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References

  1. J. Ahn and H. Jung, Hilbert 2-class field towers of imaginary quadratic function fields. J. Chungcheong Math. Soc. 23 (2010), no 4, 699-704.
  2. S. Bae, S. Hu and H. Jung, The generalized Redei matrix for function fields. submitted for publication.
  3. M. Rosen, The Hilbert class field in function fields. Exposition. Math. 5 (1987), no. 4, 365-378.
  4. R. Schoof, Algebraic curves over $\mathbb{F}_2$ with many rational points. J. Number Theory 41 (1992), no. 1, 6-14. https://doi.org/10.1016/0022-314X(92)90079-5

Cited by

  1. HILBERT 3-CLASS FIELD TOWERS OF REAL CUBIC FUNCTION FIELDS vol.26, pp.3, 2013, https://doi.org/10.14403/jcms.2013.26.3.517