scholarly journals Kummer theory for Drinfeld modules

2016 ◽  
Vol 10 (2) ◽  
pp. 215-234 ◽  
Author(s):  
Richard Pink
Keyword(s):  
Drinfeld Modules ◽  
Kummer Theory

scholarly journals A note on Kummer theory of division points over singular Drinfeld modules

2001 ◽  
Vol 64 (1) ◽  
pp. 15-20 ◽  
Author(s):  
Anly Li
Keyword(s):  
Number Fields ◽  
Drinfeld Modules ◽  
Kummer Theory ◽  
Complete Analogy

In this paper, we shall establish a Kummer theory of division points over singular Drinfeld modules which is in complete analogy with the classical one in number fields.

Cryptanalysis of a cryptosystem based on Drinfeld modules

2006 ◽  
Vol 153 (1) ◽  
pp. 12
Author(s):  
S.R. Blackburn ◽  
C.F.A. Cid ◽  
S.D. Galbraith
Keyword(s):  
Drinfeld Modules

Kummer theory for number fields via entanglement groups

2021 ◽  
Author(s):  
Antonella Perucca ◽  
Pietro Sgobba ◽  
Sebastiano Tronto
Keyword(s):  
Number Fields ◽  
Kummer Theory

scholarly journals Cogalois theory and drinfeld modules

2019 ◽  
Vol 19 (01) ◽  
pp. 2050001
Author(s):  
Marco Antonio Sánchez–Mirafuentes ◽  
Julio Cesar Salas–Torres ◽  
Gabriel Villa–Salvador
Keyword(s):  
Class Number ◽  
Present Form ◽  
Drinfeld Modules ◽  
Carlitz Module ◽  
Rank One

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].

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