Aspects of Galois Theory

by Edited by Helmut Voelklein , J. G. Thompson , David Harbater , Peter Müller

• ISBN13: 9780521637473
• ISBN10: 0521637473
• Format: Paperback
• Copyright: 1999-08-13
• Publisher: Cambridge University Press

Summary

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.

Table of Contents

Introduction	vii
Galois theory of semilinear transformations	1	(37)
Shreeram S. Abhyankar
Tools for the computation of families of coverings	38	(28)
Jean-Marc Couveignes
Some arithmetic properties of algebraic covers	66	(19)
Pierre Debes
Curves with infinite K-rational geometric fundamental group	85	(34)
Gerhard Frey
Ernst Kani
Helmut Volklein
Embedding problems and adding branch points	119	(25)
David Harbater
On beta and gamma functions associated with the Grothendieck-Teichmuller groups	144	(36)
Yasutaka Ihara
Arithmetically exceptional functions and elliptic curves	180	(22)
Peter Muller
Tangential base points and Eisenstein power series	202	(16)
Hiroaki Nakamura
Braid-abelian tuples in Spn(K)	218	(21)
John Thompson
Helmut Volklein
Deformation of tame admissible covers of curves	239
Stefan Wewers