Topics in Galois Theory (Hardcover, 2nd edition)

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.

General

Imprint:	A K Peters Ltd
Country of origin:	United States
Series:	Research Notes in Mathematics
Release date:	November 2007
First published:	2007
Authors:	Jean-Pierre Serre
Dimensions:	229 x 152 x 16mm (L x W x T)
Format:	Hardcover
Pages:	120
Edition:	2nd edition
ISBN-13:	978-1-56881-412-4
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
LSN:	1-56881-412-7
Barcode:	9781568814124

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