Galois groups of fields of definition of solvable branched coverings
Sybilla Beckmann (1988)
Compositio Mathematica
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Sybilla Beckmann (1988)
Compositio Mathematica
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Pierre Dèbes (1999)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Stefan Wewers (2005)
Journal de Théorie des Nombres de Bordeaux
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This note gives a survey of some recent results on the stable reduction of covers of the projective line branched at three points.
Pierre Dèbes, Nour Ghazi (2012)
Annales de l’institut Fourier
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Our main result combines three topics: it contains a Grunwald-Wang type conclusion, a version of Hilbert’s irreducibility theorem and a -adic form à la Harbater, but with good reduction, of the Regular Inverse Galois Problem. As a consequence we obtain a statement that questions the RIGP over . The general strategy is to study and exploit the good reduction of certain twisted models of the covers and of the associated moduli spaces.
Bernat Plans, Núria Vila (2005)
Journal de Théorie des Nombres de Bordeaux
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This paper considers some refined versions of the Inverse Galois Problem. We study the local or global behavior of rational specializations of some finite Galois covers of .