Abstract
In this chapter we pursue an approach to the solution of the inverse problem of Galois theory using several variables, which building on ideas of Hurwitz (1891), goes back to results of Fried (1977, 1984) and Fried and Biggers (1982). A variant more suitable for the realization of groups as Galois groups was proposed by Matzat (1989) and subsequently developed in papers of Matzat (1991a) and in geometric context, of Fried and Voolklein (1991) (see also the survey article Matzat (1991c)).
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Malle, G., Matzat, B.H. (2018). Action of Braids. In: Inverse Galois Theory . Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-55420-3_3
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DOI: https://doi.org/10.1007/978-3-662-55420-3_3
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