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Exposition on an arithmetic-group theoretic connection via Riemann’s existence theorem. (English) Zbl 0451.14011
Finite groups, Santa Cruz Conf. 1979, Proc. Symp. Pure Math. 37, 571-602 (1980).

MSC:
14H30 Coverings of curves, fundamental group
30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)
11R09 Polynomials (irreducibility, etc.)
12F10 Separable extensions, Galois theory
12D10 Polynomials in real and complex fields: location of zeros (algebraic theorems)
14H25 Arithmetic ground fields for curves