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Algebraic function fields of one variable over finite fields are stable

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Abstract

It is shown that any algebraic curveC over a finite field has a separable cover of some degreen over the projective lineP 1 such that the geometric Galois group of the Galois hull ofC |P 1 is the full symmetric groupS n.

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Authors and Affiliations

  1. Mathematisches Institut, Universität Erlangen — Nürnberg, Bismarckstr. 1 ½ 852, Erlangen, FRG

    Wulf-Dieter Geyer

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  1. Wulf-Dieter Geyer
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Additional information

This work was partially supported by a grant from G.I.F. (German Israeli Foundation for Scientific Research and Development).

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Geyer, WD. Algebraic function fields of one variable over finite fields are stable. Israel J. Math. 68, 102–108 (1989). https://doi.org/10.1007/BF02764972

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  • DOI: https://doi.org/10.1007/BF02764972

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