Concepedia

Genus fields of abelian extensions of rational congruence function fields

Myriam Maldonado-Ramírez, Martha Rzedowski–Calderón, Gabriel Villa–Salvador

Finite Fields and Their Applications · 2012 · 13 citations · 5 references

DOI

Concepts

References

5

Explicit class field theory for rational function fields

David R. Hayes · Transactions of the American Mathematical Society · 1974 · 219 citations · Full text

, , +16

genus theory for function fields

Sunghan Bae, Ja Kyung Koo · Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics · 1996 · 24 citations · Full text

, , +1

The genus fields of Artin–Schreier extensions

Su Hu, Yan Li · Finite Fields and Their Applications · 2010 · 24 citations

, , +10

The genus fields of Kummer function fields

Guohua Peng · Journal of Number Theory · 2003 · 20 citations

, , +7

The genus field of an algebraic function field

Rosario Clement · Journal of Number Theory · 1992 · 19 citations

, , +6