Aspects of Galois Theory

ISBN-13: 9780521637473 / Angielski / Miękka / 1999 / 292 str.

Helmut Volklein; J. G. Thompson; H. Volklein

Opis

Galois theory is a central part of algebra, dealing with symmetries between solutions of algebraic equations in one variable. This collection of papers brings together articles from some of the world's leading experts in this field. Topics center 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.

Recenzje

'… 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

Spis treści

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.