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Genus Fields of Global Fields by Ramírez-Ramírez, Elizabeth; Rzedowski-Calderón, Martha; Villa-Salvador, Gabriel is a scholarly article available to read on EtoBox.

What is Genus Fields of Global Fields about?

In this paper we obtain the extended genus field of a global field. First we define the extended genus field of a global function field and we obtain, via class field theory, the description of the extended genus field of an arbitrary global function field. In the last part of the paper we use the techniques for function fields to describe the extended genus field of an arbitrary number field.

Author

Ramírez-Ramírez, Elizabeth; Rzedowski-Calderón, Martha; Villa-Salvador, Gabriel

Published

2019

Language

EN