Topics in Galois Theory, Second Edition / Edition 2

Topics in Galois Theory, Second Edition / Edition 2

by Jean-Pierre Serre
     
 

ISBN-10: 1568814127

ISBN-13: 9781568814124

Pub. Date: 11/15/2007

Publisher: Taylor & Francis

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

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Overview

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.

Product Details

ISBN-13:
9781568814124
Publisher:
Taylor & Francis
Publication date:
11/15/2007
Series:
Research Notes in Mathematics Series
Edition description:
New Edition
Pages:
120
Product dimensions:
6.10(w) x 9.10(h) x 0.60(d)

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