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On imaginary quadratic function fields with the ideal class group to be exponent ≤2

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Chinese Science Bulletin

Abstract

A necessary condition is presented for the ideal class group of an imaginary quadratic function fieldK = k (√D) (k = F q (x), 2⫮q) to be of exponent ≤2. The condition is proved to be sufficient in some cases. An analogue of Louboutin’s result in function field case is particularly presented.

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References

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Authors and Affiliations

  1. Department of Fundamental Science, Nanjing Agriculture College, 210038, Nanjing, China

    Weiqun Hu

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  1. Weiqun Hu
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Hu, W. On imaginary quadratic function fields with the ideal class group to be exponent ≤2. Chin.Sci.Bull. 43, 2055–2059 (1998). https://doi.org/10.1007/BF03183504

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  • DOI: https://doi.org/10.1007/BF03183504

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