The Stickelberger Relation and the Eisenstein Reciprocity Law

Having developed the basic properties of cyclotomic fields we will prove two beautiful and important theorems which play a fundamental role in the further development of the theory of these fields.

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Bibliographic Details
Published inA Classical Introduction to Modern Number Theory pp. 203 - 227
Main Authors Ireland, Kenneth, Rosen, Michael
Format Book Chapter
LanguageEnglish
Published New York, NY Springer New York 19.10.2012
SeriesGraduate Texts in Mathematics
Subjects
Algebraic Number Field
Galois Extension
Galois Group
Prime Decomposition
Prime Ideal
Online AccessGet full text
ISBN9781441930941
1441930949
ISSN0072-5285
2197-5612
DOI10.1007/978-1-4757-2103-4_14

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Summary:Having developed the basic properties of cyclotomic fields we will prove two beautiful and important theorems which play a fundamental role in the further development of the theory of these fields.
ISBN:9781441930941
1441930949
ISSN:0072-5285
2197-5612
DOI:10.1007/978-1-4757-2103-4_14