Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ON RELATIVE-INVARIANT CIRCULAR UNITS IN FUNCTION FIELDS

  • JUNG, HWANYUP (Department of Mathematics Education Chungbuk National University)
  • Received : 2005.07.08
  • Published : 2005.09.25
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Abstract

Let K be an absolutely real abelian number field with $G=Gal(K/{\mathbb{Q}})$. Let E be a subfield of K and ${\Delta}=Gal(K/E)$. Let $C_K$ and $C_E$ be the group of circular units of K and E respectively. In [G], Greither has shown that if G is cyclic then $C_K^{\Delta}=C_E$. In this paper we show that the same result holds in function field case.

Keywords

Acknowledgement

Supported by : Chungbuk National University

References

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