Title of article
On some exact sequences in the theory of cyclotomic fields
Author/Authors
Miho Aoki، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
22
From page
4156
To page
4177
Abstract
The purpose of this article is to show the existence of some exact sequences which relate the ideal class groups of cyclotomic fields to Gauss sums. These exact sequences imply the results of Hachimori, Ichimura and Beliaeva. Furthermore, we study the relations between the étale cohomology groups and some conjectures on cyclotomic fields.
Keywords
Iwasawa theory , Cyclotomic units , p-adic L-function , Gauss sums , Algebraic K-groups , Ideal class groups
Journal title
Journal of Algebra
Serial Year
2008
Journal title
Journal of Algebra
Record number
698875
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