Topics in Galois Theory
Book Details
Format
Hardback or Cased Book
Book Series
Research Notes in Mathematics
ISBN-10
1568814127
ISBN-13
9781568814124
Publisher
Taylor & Francis Inc
Imprint
A K Peters
Country of Manufacture
US
Country of Publication
GB
Publication Date
Nov 2nd, 2007
Print length
120 Pages
Weight
312 grams
Dimensions
23.70 x 15.50 x 1.60 cms
Product Classification:
AlgebraGroups & group theory
Ksh 21,600.00
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Based on a course given by the author, which focuses on the inverse problem of Galois Theory: the construction of field extensions having a given finite group as Galois group. This book is devoted to rationality and rigidity criteria and their application in realizing certain groups as Galois groups of regular extensions of Q(T).
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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