## Aspects of Galois TheoryHelmut Voelklein, David Harbater, J. G. Thompson, Peter Müller 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 including. 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. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Common terms and phrases

abelian variety action acts trivially admissible cover algebraically closed arithmetic assume automorphism base point braid group branch points canonical characteristic coefficients coherent sheaf compute conjugate coordinate system Corollary corresponding cross-ratio defined deformation degree denote discrete valuation divisor element elliptic curve embedding problem epimorphism equation etale cover field of definition field of moduli finite group follows function field fundamental group G-cover G-Galois cover Galois extension Galois group Galois representation genus geometric GF(g given GL(m group G hence homomorphism induced inertia group integer integral closure irreducible isogeny isomorphism kernel Lemma lift Math Moreover morphism Note number field obtain Ox,x permutation polynomial power series prime profinite group Proposition prove quotient ramified cover rational function residue field resp result ring smooth connected Spec special fiber split surjective symplectic tamely ramified cover theory Thompson tuple tuple unique unramified vector VOLKLEIN