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In this paper, we generalize the results of [M. Sánchez-Mirafuentes and G. Villa–Salvador, Radical extensions for the Carlitz module, J. Algebra 398 (2014) 284–302] to rank one Drinfeld modules with… Click to show full abstract
In this paper, we generalize the results of [M. Sánchez-Mirafuentes and G. Villa–Salvador, Radical extensions for the Carlitz module, J. Algebra 398 (2014) 284–302] 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 [Formula: see text].
Keywords:
drinfeld modules;
cogalois theory;
theory drinfeld;
drinfeld
Journal Title: Journal of Algebra and Its Applications
Year Published: 2019
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Journal Title: Journal of Algebra and Its Applications
Year Published: 2019
Link to full text (if available)
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recommendations!