Aspects of Galois TheoryHelmut Völklein 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. |
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a₁ abelian AC(kp action admissible cover affine algebraically closed arithmetic assume automorphism b₁ base point braid group branch points C₁ canonical coefficients coherent sheaf compute conjugate coordinate system Corollary corresponding cross-ratio defined denote divisor element elliptic curve embedding problem epimorphism equation étale cover field of definition field of moduli finite group fixed follows function field fundamental group G-cover G-Galois cover Galois extension Galois group Galois representation genus geometric GF(q GL(m group G hence homomorphism induced inertia group integer integral closure irreducible isomorphism K-model K-rational Lemma lift Math morphism Note obtain permutation polynomial power series prime profinite profinite group projective proof Proposition prove quotient ramified cover residue field resp result ring SL(m smooth connected Spec special fiber surjective T₁ Theorem theory Thompson tuple tuple U₁ unique unramified vector VÖLKLEIN