ArticleOriginal scientific text
Title
A note on Sinnott's index formula
Authors 1
Affiliations
- Department of Mathematics, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji-shi, Tokyo 192-03, Japan
Abstract
Let k be an (imaginary or real) abelian number field whose conductor has two distinct prime divisors. We shall construct a basis for the group C of circular units in k and compute the index of C in the group E of units in k. This result is a generalization of Theorem 3.3 in a previous paper [1].
Bibliography
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- R. Kučera, On bases of the Stickelberger ideal and of the group of circular units of a cyclotomic field, J. Number Theory., 284-316.
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- W. Sinnott, On the Stickelberger ideal and the circular units of an abelian field, Invent. Math. 62 (1980), 181-234.
- L. Washington, Introduction to Cyclotomic Fields, Grad. Texts in Math. 83, Springer, New York, 1980.
Pages:
57-67
Main language of publication
English
Received
1996-09-26
Accepted
1997-04-07
Published
1997
Exact and natural sciences