Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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Genus numbers and ambiguous class numbers of function fields

  • Kang, Pyung-Lyun (Department of Mathematics, Chungnam National University) ;
  • Lee, Dong-Soo (Department of Mathematics, Chungnam National University)
  • Published : 1997.01.01
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Abstract

Some formulas of the genus numbers and the ambiguous ideal class numbers of function fields are given and these numbers are shown to be the same when the extension is cyclic.

Keywords

References

  1. Nagoya Math J. v.29 The genus field and genus number in algebraic number fields Furuta, Y.
  2. J. Number Th. v.9 Ambiguous Divisor Classes in Function Fields Rosen, M.
  3. Nagoya Math. J. v.29 On the Class Number of a Relatively Cyclic Number Field Yokoi, H.