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Galois Action on Solutions of a Differential Equation

✍ Scribed by Peter A. Hendriks; Marius van der Put


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
583 KB
Volume
19
Category
Article
ISSN
0747-7171

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We give an algorithm to calculate a presentation of the Picard-Vessiot extension associated to a completely reducible linear differential equation (i.e. an equation whose Galois group is reductive). Using this, we show how to compute the Galois group of such an equation as well as properties of the