Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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CYLOTOMIC FUNCTION FIELDS OVER FINITE FIELDS WITH CLASS NUMBER THREE

  • Bilhan, Mehpare (Department of Mathematics Middle East Technical University) ;
  • Buyruk, Dilek (Department of Mathematics Abant Izzet Baysal University) ;
  • Ozbudak, Ferruh (Department of Mathematics and Institute of Applied Mathematics Middle East Technical University)
  • Received : 2018.04.27
  • Accepted : 2018.12.06
  • Published : 2019.03.01
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Abstract

We list all subfields of cyclotomic function fields over rational function fields with class number three. We also determine all the imaginary abelian extensions with relative class number three, explicitly.

Keywords

Acknowledgement

Supported by : TUBITAK

References

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