Description: Topics in Galois Theory Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): Jean-Pierre Serre Format: Hardback Publisher: Taylor & Francis Inc, United States Imprint: A K Peters ISBN-13: 9781568814124, 978-1568814124 Synopsis 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.
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Book Title: Topics in Galois Theory
Number of Pages: 120 Pages
Publication Name: Topics in Galois Theory
Language: English
Publisher: Taylor & Francis INC International Concepts
Item Height: 229 mm
Subject: Mathematics
Publication Year: 2007
Type: Textbook
Item Weight: 318 g
Author: Jean-Pierre Serre
Item Width: 152 mm
Series: Research Notes in Mathematics
Format: Hardcover
