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Galois Groups of Second and Third Order Linear Differential Equations (1997)

Abstract

this paper we show how factorization properties of these symmetric powers can be used to determine structural properties of the galois groups of second and third order linear differential equation. This in turn will allow us to give necessary and sufficient conditions for these linear differential equations to have liouvillian solutions. For example we show (Corollary 4.4):

Publication details

Download	http://citeseerx.ist.psu.edu/viewdoc/summary?doi=?doi=10.1.1.37.646
Source	http://www.maths.univ-rennes1.fr/~ulmer/paper/gal.ps
Contributors	CiteSeerX
Repository	CiteSeerX - Scientific Literature Digital Library and Search Engine (United States)
Type	text
Language	English
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