1 citations · 1 across the 4 of their papers we have counts for
6 papers
Function field genus theory for non-Kummer extensions
Martha Rzedowski-Calderón, Gabriel Villa-Salvador
In this paper we first obtain the genus field of a finite abelian non-Kummer --extension of a global rational function field. Then, using that the genus field of a composite of…
Extended genus field of cyclic Kummer extensions of rational function fields
Edgar Omar Curiel-Anaya, Myriam Rosalía Maldonado-Ramírez, Martha Rzedowski-Calderón
For a cyclic Kummer extension of a rational function field is considered, via class field theory, the extended Hilbert class field of and the corresponding exte…
Genus fields of Kummer extensions of rational function fields
Martha Rzedowski-Calderón, Gabriel Villa-Salvador
In this paper we obtain the genus field of a general Kummer extension of a global rational function field. We study first the case of a general Kummer extension of degree a power o…
Genus fields of global fields
Elizabeth Ramírez-Ramírez, Martha Rzedowski-Calderón, Gabriel Villa-Salvador
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 d…
Genus fields of finite abelian extensions
Jonny Fernando Barreto-Castañeda, Carlos Montelongo-Vázquez, Carlos Daniel Reyes-Morales +2
In this paper we find the genus field of finite abelian extensions of the global rational function field. We introduce the term conductor of constants for these extensions and dete…
Abelian -extensions and additive polynomials
Jonny Fernando Barreto-Castañeda, Fausto Jarquín-Zárate, Martha Rzedowski-Calderón +1
In this work we present some arithmetic properties of families of abelian --extensions of global function fields, among which are their generators and their type of ramification…