Picard-Vessiot extensions with specified Galois group

Lourdes Juan, Ted Chinburg, Andy Magid

Research output: Contribution to journalArticle

Abstract

Picard-Vessiot extensions are determined by their dieren- tial module structure. For a xed group G Picard-Vessiot extensions with dierential Galois group G are all isomorphic as G-modules but not as dierential rings. It is then shown that isomorphism classes of Picard-Vessiot extensions with group G correspond to G-orbits in a cer- tain nite dimensional vector space with G-action.
Original languageEnglish
Pages (from-to)233-242
JournalPacific Journal of Mathematics
StatePublished - Dec 2009

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