ENGLISH

Topics in Galois theory

By Serre J.-P.

Book information

Publisher
AK Peters
Year
2008
ISBN
1568814127, 9781568814124
LCC
QA214 .S47 2008
Open Library ID
OL24813190M
Language
english
Format
PDF
Filesize
624 kB (638898 bytes)
Series
Research Notes in Mathematics
Pages
134\134
Library
Kolxo3
Time added
2011-07-22 07:35:22

Description

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 not equal 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.

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