Semi-topological Galois theory and the inverse Galois problem

Details Semi-topological Galois theory and the inverse Galois problem Semi-topological Galois theory and the inverse Galois problem

2010-06-07

arxiv.org/abs/1006.1166v1

Mathematics

Group Theory

23 pages

Scientific paper

We enhance the analogy between field extensions and covering spaces by introducing the concept of splitting covering which correspondences to the splitting field in Galois theory. We define semi-topological Galois groups for Weierstrass polynomials and prove the existence of a Galois correspondence. This new tool enables us to study the inverse Galois problem from a new viewpoint.

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