English

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

Number Theory 2016-10-04 v1

Abstract

We give a complete characterization of all Galois subfields of the generalized Giulietti--Korchm\'aros function fields Cn/\fqn\mathcal C_n / \fqn for n5n\ge 5. Calculating the genera of the corresponding fixed fields, we find new additions to the list of known genera of maximal function fields.

Keywords

Cite

@article{arxiv.1610.00567,
  title  = {A complete characterization of Galois subfields of the generalized Giulietti--Korchm\'aros function field},
  author = {Nurdagül Anbar and Alp Bassa and Peter Beelen},
  journal= {arXiv preprint arXiv:1610.00567},
  year   = {2016}
}