On the Constructive Inverse Problem in Differential Galois Theory

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dc.creatorCook, William J.
dc.creatorMitschi, Claude
dc.creatorSinger, Michael F.
dc.date2004-03-23
dc.date2005-06-05
dc.date.accessioned2026-07-07T05:06:39Z
dc.date.available2026-07-07T05:06:39Z
dc.descriptionWe give sufficient conditions for a linear differential equation to have a given semisimple group as its Galois group. For any linear algebraic group G given as a semidirect product of a finite subgroup and a normal subgroup that is a product of groups of type An, Cn, Dn, E6, or E7, we construct a differential equation over C(x) having Galois group G.
dc.descriptionSeveral misprints have been corrected and the statement of Propositions 3.2 and 3.4 have been made more precise and their proofs expanded
dc.identifierhttps://arxiv.org/abs/math/0403378
dc.identifierhttp://arxiv.org/abs/math/0403378
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70553
dc.subjectGeneral Mathematics
dc.subjectClassical Analysis and ODEs
dc.subjectGroup Theory
dc.subject34M50 (Primary) 12H05, 12H20 (Secondary)
dc.titleOn the Constructive Inverse Problem in Differential Galois Theory
dc.typetext

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