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On the definition of the Galois group of linear differential equations
[article]
2012
arXiv
pre-print
Preserved Fulltext
Let us consider a linear differential equation over a differential field K. For a differential field extension L/K generated by a fundamental system of the equation, we show that Galois group according to the general Galois theory of Umemura coincides with the Picard-Vessiot Galois group. This conclusion generalized the comparision theorem of Umemura and Casale.
arXiv:1212.4070v1
fatcat:m6up2srowzhhbkqtrkajsuvkny