Galois Module Structure In Wild Extensions Of The Rationale Function Field

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Galois Module Structure In Wild Extensions Of The Rational Function Field

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Author : Raymond Miller
language : en
Publisher:
Release Date : 1997

Galois Module Structure In Wild Extensions Of The Rational Function Field written by Raymond Miller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.

Publications Math Matiques De Besan On N 1 2010

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Author : Patrick Hild
language : en
Publisher: Presses Univ. Franche-Comté
Release Date : 2010-03

Publications Math Matiques De Besan On N 1 2010 written by Patrick Hild and has been published by Presses Univ. Franche-Comté this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03 with categories.

Galois Module Structure Of Algebraic Integers

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Author : A. Fröhlich
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Galois Module Structure Of Algebraic Integers written by A. Fröhlich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

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 our theory and of its central theme, and to motivate at each successive stage the introduction of new concepts and new tools.

Galois Module Structure

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Author : Victor Percy Snaith
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

Galois Module Structure written by Victor Percy Snaith and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

Galois module structure deals with the construction of algebraic invariants from a Galois extension of number fields with group $G$. This title addresses the Chinburg conjectures. It provides the background in algebraic and analytic number theory, cohomology, representation theory, and Hom-descriptions.

Index To Theses With Abstracts Accepted For Higher Degrees By The Universities Of Great Britain And Ireland And The Council For National Academic Awards

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Author :
language : en
Publisher:
Release Date : 2003

Index To Theses With Abstracts Accepted For Higher Degrees By The Universities Of Great Britain And Ireland And The Council For National Academic Awards written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Dissertations, Academic categories.

Theses on any subject submitted by the academic libraries in the UK and Ireland.

Galois Module Structure In Wild Extensions Of The Rationale Function Field

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Author : Raymond Miller
language : en
Publisher:
Release Date : 1997

Galois Module Structure In Wild Extensions Of The Rationale Function Field written by Raymond Miller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.

Galois Module Structure Of Algebraic Integers

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Author : Albrecht Fröhlich
language : en
Publisher: Springer
Release Date : 1983

Galois Module Structure Of Algebraic Integers written by Albrecht Fröhlich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.

L Functions And Arithmetic

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Author : J. Coates
language : en
Publisher: Cambridge University Press
Release Date : 1991-02-22

L Functions And Arithmetic written by J. Coates and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-02-22 with Mathematics categories.

Aimed at presenting nontechnical explanations, all the essays in this collection of papers from the 1989 LMS Durham Symposium on L-functions are the contributions of renowned algebraic number theory specialists.

Mathematical Reviews

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Author :
language : en
Publisher:
Release Date : 2005

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

Topics In Galois Theory Second Edition

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Author : Jean-Pierre Serre
language : en
Publisher: A K Peters/CRC Press
Release Date : 2008

Topics In Galois Theory Second Edition written by Jean-Pierre Serre and has been published by A K Peters/CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.

This book is based on a course given by the author at Harvard University in the fall semester of 1988. The course focused on the inverse problem of Galois Theory: the construction of field extensions having a given finite group as Galois group. In the first part of the book, classical methods and results, such as the Scholz and Reichardt construction for p-groups, p != 2, as well as Hilbert's irreducibility theorem and the large sieve inequality, are presented. The second half is devoted to rationality and rigidity criteria and their application in realizing certain groups as Galois groups of regular extensions of Q(T). While proofs are not carried out in full detail, the book contains a number of examples, exercises, and open problems.