# The minimal ramification problem for rational function fields over finite fields

@inproceedings{BarySoroker2021TheMR, title={The minimal ramification problem for rational function fields over finite fields}, author={L. Bary-Soroker and A. Entin and Arno Fehm}, year={2021} }

We study the minimal number of ramified primes in Galois extensions of rational function fields over finite fields with prescribed finite Galois group. In particular, we obtain a general conjecture in analogy with the well studied case of number fields, which we establish for abelian, symmetric and alternating groups in many cases.

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