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|a TXAM
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|a Serre, Jean-Pierre,
|d 1926-
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|a Topics in Galois theory /
|c Jean-Pierre Serre ; notes written by Henri Darmon.
|
| 250 |
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|a Second edition.
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| 260 |
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|a Wellesley, Mass. :
|b AK Peters,
|c ©2007.
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| 300 |
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|a 1 online resource (136 pages)
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| 336 |
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|a text
|b txt
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|a online resource
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|a Research notes in mathematics ;
|v v. 1
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| 490 |
1 |
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|a Research Notes in Mathematics
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| 504 |
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|a Includes bibliographical references and index.
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| 588 |
0 |
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|a Print version record.
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| 505 |
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|a 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.
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| 504 |
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|a BibliographyBack Cover.
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| 520 |
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|a 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.
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| 538 |
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|a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
|u http://purl.oclc.org/DLF/benchrepro0212
|5 MiAaHDL
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| 583 |
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|a digitized
|c 2011
|h HathiTrust Digital Library
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|a Galois theory.
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| 650 |
|
6 |
|a Théorie de Galois.
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| 650 |
|
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|a MATHEMATICS
|x Algebra
|x Intermediate.
|2 bisacsh
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| 650 |
|
7 |
|a Galois theory
|2 fast
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| 655 |
|
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|a Electronic books.
|2 local
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| 710 |
2 |
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|a Taylor & Francis
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| 776 |
0 |
8 |
|i Print version:
|a Serre, Jean-Pierre.
|t Topics in Galois Theory, Second Edition.
|d Wellesley, Mass. : AK Peters, ©2007
|z 9781568814124
|
| 830 |
|
0 |
|a Research notes in mathematics (Boston, Mass.) ;
|v 1.
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| 856 |
4 |
0 |
|u http://proxy.library.tamu.edu/login?url=https://www.taylorfrancis.com/books/9780429064401
|z Connect to the full text of this electronic book
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|a Texas A&M University
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|h Library of Congress classification
|
| 998 |
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