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

Abstract

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

Cited by in corpus (1)

• On the spectrum of genera of quotients of the Hermitian curve