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A complete characterization of Galois subfields of the generalized Giulietti--Korchm\'aros function field
- Publication Year :
- 2016
-
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.
- Subjects :
- Mathematics - Number Theory
11G20, 14H25, 14H37, 14G05
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1610.00567
- Document Type :
- Working Paper