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arXiv · 1605.02841

Cogalois theory and Drinfeld modules

Marco Antonio Sánchez-Mirafuentes·Julio Cesar Salas-Torres·Gabriel Villa-Salvador
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Abstract

In this paper we generalize the results of \cite{sanchez} to rank one Drinfeld modules with class number one. We show that, in the present form, there does not exist a cogalois theory for Drinfeld modules of rank or class number larger than one. We also consider the torsion of the Carlitz module for the extension ${\mathbb{F}}_{q}(T)(Λ_{P^{n}}) /{\mathbb{F}}_{q}(T)(Λ_{P})$.

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Marco Antonio Sánchez-Mirafuentes, Julio Cesar Salas-Torres, Gabriel Villa-Salvador. 2016-05-10. Cogalois theory and Drinfeld modules. https://arxiv.org/abs/1605.02841

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