Aspects of Galois Theory
Aspects of Galois Theory
J. G. Thompson, University of Florida
David Harbater, University of Pennsylvania
Peter Müller, Ruprecht-Karls-Universität Heidelberg, Germany
Galois theory is a central part of algebra, dealing with symmetries between solutions of algebraic equations in one variable. This is a collection of papers from the participants of a conference on Galois theory, and brings together articles from some of the world's leading experts in this field. Topics are centred around the Inverse Galois Problem, comprising the full range of methods and approaches in this area, making this an invaluable resource for all those whose research involves Galois theory.
- Indispensable for researchers in this area
- Authors are top names
- Exciting area
Reviews & endorsements
' … an invaluable resource for all those whose research involves Galois theory.' Extrait de L'Enseignement Mathématique
'… a volume with interesting methods, examples, attempts and seminal ideas around the Inverse Galois theory; full of ideas, and nice to read.' Niew Archief voor Wiskunde
Product details
No date availablePaperback
9780521637473
292 pages
229 × 152 × 16 mm
0.4kg
Table of Contents
- 1. Galois theory of semilinear transformations S. Abhyankar
- 2. Some arithmetic properties of algebraic covers P. Debes
- 3. Tools for the computation of algebraic covers J.-M. Couveignes
- 4. Infinite towers of unramified curve covers defined over a number field G. Frey, E. Kani and H. Volklein
- 5. Modular towers of noncongruence curves M. Fried
- 6. Embedding problems and adding branch points D. Harbater
- 7. On beta and gamma functions associated with the Grothendieck–Teichmüller group Y. Ihara
- 8. Arithmetically exceptional functions and elliptic curves P. Mueller
- 9. Tangential base points and Eisenstein power series H. Nakamura
- 10. Braid-abelian tuples in Sp(p,n) J. G. Thompson and H. Volklein.
