Corpus ID: 235458230

# 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}
}
• Published 2021
• Mathematics
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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