국가지식-학술정보
ON RELATIVE-INVARIANT CIRCULAR UNITS IN FUNCTION FIELDS
ON RELATIVE-INVARIANT CIRCULAR UNITS IN FUNCTION FIELDS
- 호남수학회
- Honam Mathematical Journal
- Vol.27 No.3
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2005.01389 - 397 (9 pages)
- 0
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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.
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