Semi-topological Galois theory and the inverse Galois problem

Autor:	Liao, Hsuan-Yi, Teh, Jyh-Haur
Rok vydání:	2010
Předmět:	Mathematics - Group Theory Mathematics - Algebraic Geometry Mathematics - Geometric Topology Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	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. Comment: 23 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1006.1166 Zobrazit plný text záznamu View this record from Arxiv