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Galois Groups Over Q


Galois Groups Over Q
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Galois Groups Over


Galois Groups Over
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Author : Y. Ihara
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Galois Groups Over written by Y. Ihara 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.


This volume is the offspring of a week-long workshop on "Galois groups over Q and related topics," which was held at the Mathematical Sciences Research Institute during the week March 23-27, 1987. The organizing committee consisted of Kenneth Ribet (chairman), Yasutaka Ihara, and Jean-Pierre Serre. The conference focused on three principal themes: 1. Extensions of Q with finite simple Galois groups. 2. Galois actions on fundamental groups, nilpotent extensions of Q arising from Fermat curves, and the interplay between Gauss sums and cyclotomic units. 3. Representations of Gal(Q/Q) with values in GL(2)j deformations and connections with modular forms. Here is a summary of the conference program: • G. Anderson: "Gauss sums, circular units and the simplex" • G. Anderson and Y. Ihara: "Galois actions on 11"1 ( ••• ) and higher circular units" • D. Blasius: "Maass forms and Galois representations" • P. Deligne: "Galois action on 1I"1(P-{0, 1, oo}) and Hodge analogue" • W. Feit: "Some Galois groups over number fields" • Y. Ihara: "Arithmetic aspect of Galois actions on 1I"1(P - {O, 1, oo})" - survey talk • U. Jannsen: "Galois cohomology of i-adic representations" • B. Matzat: - "Rationality criteria for Galois extensions" - "How to construct polynomials with Galois group Mll over Q" • B. Mazur: "Deforming GL(2) Galois representations" • K. Ribet: "Lowering the level of modular representations of Gal( Q/ Q)" • J-P. Serre: - Introductory Lecture - "Degree 2 modular representations of Gal(Q/Q)" • J.



Galois Groups Over Q


Galois Groups Over Q
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Author : Kimberly Javor
language : en
Publisher:
Release Date : 1990

Galois Groups Over Q written by Kimberly Javor and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.




Groups As Galois Groups


Groups As Galois Groups
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Author : Helmut Völklein
language : en
Publisher: Cambridge University Press
Release Date : 1996-08-13

Groups As Galois Groups written by Helmut Völklein 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 1996-08-13 with Mathematics categories.


Develops the mathematical background and recent results on the Inverse Galois Problem.



Galois Groups Over Q


Galois Groups Over Q
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Author : Yasutaka Ihara
language : en
Publisher:
Release Date : 1989-01-01

Galois Groups Over Q written by Yasutaka Ihara and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Galois theory categories.




Topics In Galois Theory


Topics In Galois Theory
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Author : Jean-Pierre Serre
language : en
Publisher: CRC Press
Release Date : 2016-04-19

Topics In Galois Theory written by Jean-Pierre Serre and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 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 constructi



Computing Galois Groups Over Q


Computing Galois Groups Over Q
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Author : Christian L. Wilson
language : en
Publisher:
Release Date : 2009

Computing Galois Groups Over Q written by Christian L. Wilson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Galois theory categories.




Inverse Galois Theory


Inverse Galois Theory
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Author : Gunter Malle
language : en
Publisher: Springer
Release Date : 2018-07-27

Inverse Galois Theory written by Gunter Malle and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-27 with Mathematics categories.


A consistent and near complete survey of the important progress made in the field over the last few years, with the main emphasis on the rigidity method and its applications. Among others, this monograph presents the most successful existence theorems known and construction methods for Galois extensions as well as solutions for embedding problems combined with a collection of the existing Galois realizations.



Galois Groups And Fundamental Groups


Galois Groups And Fundamental Groups
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Author : Tamás Szamuely
language : en
Publisher: Cambridge University Press
Release Date : 2009-07-16

Galois Groups And Fundamental Groups written by Tamás Szamuely 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 2009-07-16 with Mathematics categories.


Assuming little technical background, the author presents the strong analogies between these two concepts starting at an elementary level.



Galois Groups And Fundamental Groups


Galois Groups And Fundamental Groups
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Author : Leila Schneps
language : en
Publisher: Cambridge University Press
Release Date : 2003-07-21

Galois Groups And Fundamental Groups written by Leila Schneps 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 2003-07-21 with Mathematics categories.


Table of contents



Galois Theory And Modular Forms


Galois Theory And Modular Forms
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Author : Ki-ichiro Hashimoto
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Galois Theory And Modular Forms written by Ki-ichiro Hashimoto 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 2013-12-01 with Mathematics categories.


This volume is an outgrowth of the research project "The Inverse Ga lois Problem and its Application to Number Theory" which was carried out in three academic years from 1999 to 2001 with the support of the Grant-in-Aid for Scientific Research (B) (1) No. 11440013. In September, 2001, an international conference "Galois Theory and Modular Forms" was held at Tokyo Metropolitan University after some preparatory work shops and symposia in previous years. The title of this book came from that of the conference, and the authors were participants of those meet All of the articles here were critically refereed by experts. Some of ings. these articles give well prepared surveys on branches of research areas, and many articles aim to bear the latest research results accompanied with carefully written expository introductions. When we started our re~earch project, we picked up three areas to investigate under the key word "Galois groups"; namely, "generic poly nomials" to be applied to number theory, "Galois coverings of algebraic curves" to study new type of representations of absolute Galois groups, and explicitly described "Shimura varieties" to understand well the Ga lois structures of some interesting polynomials including Brumer's sextic for the alternating group of degree 5. The topics of the articles in this volume are widely spread as a result. At a first glance, some readers may think this book somewhat unfocussed.