Topics in Galois Theory
Author:   Jean-Pierre Serre
Publisher:   Taylor & Francis Inc
Edition:   2nd edition
ISBN:  

9781568814124


Pages:   120
Publication Date:   02 November 2007
Format:   Hardback
Availability:   In Print   Availability explained
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Topics in Galois Theory


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Full Product Details

Author:   Jean-Pierre Serre
Publisher:   Taylor & Francis Inc
Imprint:   A K Peters
Edition:   2nd edition
Dimensions:   Width: 15.20cm , Height: 1.50cm , Length: 22.90cm
Weight:   0.380kg
ISBN:  

9781568814124


ISBN 10:   1568814127
Pages:   120
Publication Date:   02 November 2007
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Foreword, Notation, Introduction, 1 Examples in low degree, 2 Nilpotent and solvable groups as Galois groups over Q, 3 Hilbert’s irreducibility theorem, 4 Galois extensions of Q(T): first examples, 5 Galois extensions of Q(T) given by torsion on elliptic curves, 6 Galois extensions of C(T), 7 Rigidity and rationality on finite groups, 8 Construction of Galois extensions of Q(T) by the rigidity method, 9 The form Tr(x2) and its applications, 10 Appendix: the large sieve inequality, Bibliography

Reviews

is a very stimulating text, which ... will attract mathematicians working in group theory, number theory, algebraic geometry, and complex analysis. --Zentralblatt fur Mathematik This small book contains a nice introduction to some classical highlights and some recent work on the inverse Galois theory problem. The topics and main theorems are carefully chosen and composed in a masterly manner. --Mathematiacl Reviews -July 2007 Serre had the great good sense to have notes taken at his 1988 lectures at Harvard, creating a slim volume of great interest... -BOOK NEWS Inc., June 2008 J.-P. Serre, one of the greatest mathematicians in our time, provides here a unique introduction to both some classical milestones and some recent developments in the realm of inverse Galois theory. ... [This book] will maintain its unique, unparalleled role in the literature on inverse Galois theory for further generations. Now as before, J.-P. Serre's masterpiece of expository writing is an unvaluable source of inspiration and incitement likewise. -Werner Kleinert, Zentralblatt MATH, January 2007 Serre's book helped to call the attention to a deep classical problem with connections to algebraic geometry, topology, algebra, and number theory. By carefully selecting examples, methods and topics, this book goes deeply into the problem. -MAA Reviews, September 2008


... This is a very stimulating text, which... will attract mathematicians working in group theory, number theory, algebraic geometry, and complex analysis. - Zentralblatt fur Mathematik This small book contains a nice introduction to some classical highlights and some recent work on the inverse Galois theory problem. The topics and main theorems are carefully chosen and composed in a masterly manner. - Mathematical Reviews


Author Information

Jean-Pierre Serre is one of the leading mathematicians of the twentieth century, active in algebraic geometry, number theory, and topology. He has received numerous awards and honors for his mathematical research and exposition, including the Fields Medal in 1954 and the Abel Prize in 2003.

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