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arXiv · 1610.00567

A complete characterization of Galois subfields of the generalized Giulietti--Korchm\'aros function field

Nurdagül Anbar·Alp Bassa·Peter Beelen
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Abstract

We give a complete characterization of all Galois subfields of the generalized Giulietti--Korchm\'aros 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.

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Nurdagül Anbar, Alp Bassa, Peter Beelen. 2016-10-03. A complete characterization of Galois subfields of the generalized Giulietti--Korchm\'aros function field. https://arxiv.org/abs/1610.00567

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