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Topics in Galois theory / Jean-Pierre Serre ; notes written by Henri Darmon.
Author
Serre, Jean-Pierre, 1926-
[Browse]
Format
Book
Language
English
Εdition
Second edition.
Published/Created
Wellesley, Mass. : AK Peters, ©2007.
Description
1 online resource (136 pages)
Availability
Available Online
Taylor & Francis eBooks Complete
SCI-TECHnetBASE
Details
Subject(s)
Galois theory
[Browse]
Series
Research notes in mathematics (Boston, Mass.) ; 1.
[More in this series]
Research notes in mathematics ; v. 1
Research Notes in Mathematics
Restrictions note
Use copy
Summary note
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.
Bibliographic references
BibliographyBack Cover.
Includes bibliographical references and index.
Reproduction note
Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2011.
Source of description
Print version record.
Contents
Front Cover; Contents; Foreword; Notation; Introduction; Chapter 1. Examples in low degree; Chapter 2. Nilpotent and solvable groups as Galois groups over Q; Chapter 3. Hilbert's irreducibility theorem; Chapter 4. Galois extensions of Q(T): first examples; Chapter 5. Galois extensions of Q(T) given by torsion on elliptic curves; Chapter 6. Galois extensions of C(T); Chapter 7. Rigidity and rationality on finite groups; Chapter 8. Construction of Galois extensions of Q(T) by the rigidity method; Chapter 9. The form Tr(x2) and its applications; Chapter 10. Appendix: the large sieve inequality.
ISBN
9781439865255 ((electronic bk.))
1439865256 ((electronic bk.))
OCLC
899156600
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
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Other versions
Topics in Galois theory / Jean-Pierre Serre ; notes written by Henri Darmon.
id
99125129874706421
Topics in Galois theory / Jean-Pierre Serre ; notes written by Henri Darmon.
id
9953417553506421