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December 2005 Thaine's annihilator
Koichi Tateyama
Tohoku Math. J. (2) 57(4): 541-557 (December 2005). DOI: 10.2748/tmj/1140727072

Abstract

The aim of this paper is to give, for any real cyclotomic field, elements of the group ring of the Galois group which annihilate the ideal class group. Our annihilators are constructed by using the prime decomposition of an element which is an analogy of the Gaussian sum. This method is essentially due to Thaine.

Citation

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Koichi Tateyama. "Thaine's annihilator." Tohoku Math. J. (2) 57 (4) 541 - 557, December 2005. https://doi.org/10.2748/tmj/1140727072

Information

Published: December 2005
First available in Project Euclid: 23 February 2006

zbMATH: 1103.11032
MathSciNet: MR2203546
Digital Object Identifier: 10.2748/tmj/1140727072

Subjects:
Primary: 11R29

Rights: Copyright © 2005 Tohoku University

Vol.57 • No. 4 • December 2005
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