A complete characterization of Galois subfields of the generalized Giulietti--Korchmáros function field

preprint2016arXivOpen access

Abstract

We give a complete characterization of all Galois subfields of the generalized Giulietti--Korchmáros function fields $\mathcal C_n / \fqn$ for n≥5n\ge 5. Calculating the genera of the corresponding fixed fields, we find new additions to the list of known genera of maximal function fields.

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