Titlebook: Galois Theory, Coverings, and Riemann Surfaces; Askold Khovanskii Textbook 2013 Springer-Verlag Berlin Heidelberg 2013 Galois group.monodr

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Ramified Coverings and Galois Theory, surfaces, the geometry of ramified coverings and Galois theory are not only analogous but in fact very closely related to each other. This relationship is useful in both directions. On the one hand, Galois theory and Riemann’s existence theorem allow one to describe the field of functions on a rami

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Askold KhovanskiiClassical Galois theory and classification of coverings are explained from scratch.Gentle introduction to the cutting edge of research.Written by one of the founders of topological Galois theory.Inclu

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,Symptomkategorien psychischer St?rungen,t from the classical problem on solvability of an algebraic equation by radicals, we also consider other problems of this type, for instance, the question of solvability of an equation by radicals and by solving auxiliary equations of degree at most k. While our proof of the fundamental theorem of G

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Benedikt Friedrichs,Christian Kn?chelbetween the fundamental theorem of Galois theory and classification of coverings over a topological space. A description of this analogy is given in the second chapter. We consider several classifications of coverings closely related to each other. At the same time, we stress a formal analogy betwee

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