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Groups as Galois groups : an introduction

Author: Helmut Völklein
Publisher: Cambridge : Cambridge University Press, 2008.
Series: Cambridge studies in advanced mathematics, 53.
Edition/Format:   Print book : English : Digitally printed versionView all editions and formats
Summary:

The goal of this book is to lead the reader to an understanding of recent results on the Inverse Galois Problem. Assuming only elementary algebra and complex analysis, the author develops the  Read more...

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Details

Document Type: Book
All Authors / Contributors: Helmut Völklein
ISBN: 9780521065030 0521065038 9780521562805 0521562805
OCLC Number: 698794686
Notes: Originally published 1996.
Description: XVII, 248 Seiten : Diagramme.
Contents: Part 1. The Basic Rigidity Criteria: 1. Hilbert's irreducibility theorem; 2. Finite Galois extensions of C (x); 3. Descent of base field and the rigidity criterion; 4. Covering spaces and the fundamental group; 5. Riemann surfaces and their functional fields; 6. The analytic version of Riemann's existence theorem; Part II. Further Directions: 7. The descent from C to k; 8. Embedding problems: braiding action and weak rigidity; Moduli spaces for covers of the Riemann sphere; Patching over complete valued fields.
Series Title: Cambridge studies in advanced mathematics, 53.
Responsibility: Helmut Völklein.
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Review of the hardback: 'I highly recommend this book to all readers who like to learn this aspect of Galois theory, those who like to give a course on Galois theory and those who like to see how Read more...

 
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