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Titlebook: Galois Module Structure of Algebraic Integers; Albrecht Fröhlich Book 1983 Springer-Verlag Berlin Heidelberg 1983 Algebraische Zahlentheor

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书目名称Galois Module Structure of Algebraic Integers
编辑Albrecht Fröhlich
视频video
丛书名称Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
图书封面Titlebook: Galois Module Structure of Algebraic Integers;  Albrecht Fröhlich Book 1983 Springer-Verlag Berlin Heidelberg 1983 Algebraische Zahlentheor
描述In this volume we present a survey of the theory of Galois module structure for rings of algebraic integers. This theory has experienced a rapid growth in the last ten to twelve years, acquiring mathematical depth and significance and leading to new insights also in other branches of algebraic number theory. The decisive take-off point was the discovery of its connection with Artin L-functions. We shall concentrate on the topic which has been at the centre of this development, namely the global module structure for tame Galois extensions of numberfields -in other words of extensions with trivial local module structure. The basic problem can be stated in down to earth terms: the nature of the obstruction to the existence of a free basis over the integral group ring ("normal integral basis"). Here a definitive pattern of a theory has emerged, central problems have been solved, and a stage has clearly been reached when a systematic account has become both possible and desirable. Of course, the solution of one set of problems has led to new questions and it will be our aim also to discuss some of these. We hope to help the reader early on to an understanding of the basic structure of o
出版日期Book 1983
关键词Algebraische Zahlentheorie; Galoissche Theorie; Integers; Mathematica; Volume; algebra; algebraic number t
版次1
doihttps://doi.org/10.1007/978-3-642-68816-4
isbn_softcover978-3-642-68818-8
isbn_ebook978-3-642-68816-4Series ISSN 0071-1136 Series E-ISSN 2197-5655
issn_series 0071-1136
copyrightSpringer-Verlag Berlin Heidelberg 1983
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https://doi.org/10.1007/978-981-10-5379-5 has clearly been reached when a systematic account has become both possible and desirable. Of course, the solution of one set of problems has led to new questions and it will be our aim also to discuss some of these.
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Aid Requirements and Donor Preferencesd global root numbers and Galois Gauss sums, and indeed this can be taken as a second main topic of the present volume. The aim of the present section is to outline in approximate — but not strict — chronological order the several strands of research and their interaction, which led to the developme
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Europe, Russia, and Global Development,al emphasis. In addition, there is a final section, which is devoted to a systematic survey of the theory of tame local Galois Gauss sums, mainly coming from [FT]. This will, among other things, contain an outline of the proof of two theorems, which are of independent interest. The first contains an
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Introduction, has clearly been reached when a systematic account has become both possible and desirable. Of course, the solution of one set of problems has led to new questions and it will be our aim also to discuss some of these.
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Congruences and Logarithmic Values,al emphasis. In addition, there is a final section, which is devoted to a systematic survey of the theory of tame local Galois Gauss sums, mainly coming from [FT]. This will, among other things, contain an outline of the proof of two theorems, which are of independent interest. The first contains an
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Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics380419.jpg
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0071-1136 s led to new questions and it will be our aim also to discuss some of these. We hope to help the reader early on to an understanding of the basic structure of o978-3-642-68818-8978-3-642-68816-4Series ISSN 0071-1136 Series E-ISSN 2197-5655
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