Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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CLASS NUMBER DIVISIBILITY OF QUADRATIC FUNCTION FIELDS IN EVEN CHARACTERISTIC

  • Bae, Sunghan (Department of Mathematics KAIST) ;
  • Jung, Hwanyup (Department of Mathematics Education Chungbuk National University)
  • Received : 2012.10.26
  • Published : 2013.07.31
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Abstract

We find a lower bound on the number of real/inert imagi-nary/ramified imaginary quadratic extensions of the function field $\mathbb{F}_q(t)$ whose ideal class groups have an element of a fixed order, where $q$ is a power of 2.

Keywords

Acknowledgement

Supported by : National Research Foundation of Korea(NRF)

References

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