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On Annihilators of the Class Group of an Imaginary Compositum of Quadratic Fields

Basic information
Original title:On Annihilators of the Class Group of an Imaginary Compositum of Quadratic Fields
Author:Radan Kučera
Further information
Citation:KUČERA, Radan. On Annihilators of the Class Group of an Imaginary Compositum of Quadratic Fields. Acta Arithmetica, Varšava, Polsko: Matematický institut Polské akademie věd, 2010, vol. 143, No 3, p. 257-269. ISSN 0065-1036.Export BibTeX
@article{889288,
author = {Kučera, Radan},
article_location = {Varšava, Polsko},
article_number = {3},
keywords = {Stickelberger ideal; imaginary compositum of quadratic fields; annihilators of the class group},
language = {eng},
issn = {0065-1036},
journal = {Acta Arithmetica},
title = {On Annihilators of the Class Group of an Imaginary Compositum of Quadratic Fields},
volume = {143},
year = {2010}
}
Original language:English
Field:General mathematics
Type:Article in Periodical
Keywords:Stickelberger ideal; imaginary compositum of quadratic fields; annihilators of the class group

Let k be a tamely ramified imaginary compositum of quadratic fields. The aim of the paper is to construct new explicit annihilators of the class group of k not belonging to the Stickelberger ideal. These new annihilators are obtained as quotients of elements of the Stickelberger ideal, the usual source of annihilators, by suitable powers of 2.

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