Picard-Vessiot extensions with specified Galois group

Lourdes Juan; Ted Chinburg; Andy Magid

Picard-Vessiot extensions with specified Galois group

Lourdes Juan, Ted Chinburg, Andy Magid

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	233-242
Journal	Pacific Journal of Mathematics
State	Published - Dec 2009

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title = "Picard-Vessiot extensions with specified Galois group",

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.",

author = "Lourdes Juan and Ted Chinburg and Andy Magid",

year = "2009",

month = dec,

language = "English",

pages = "233--242",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

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TY - JOUR

T1 - Picard-Vessiot extensions with specified Galois group

AU - Juan, Lourdes

AU - Chinburg, Ted

AU - Magid, Andy

PY - 2009/12

Y1 - 2009/12

N2 - 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.

AB - 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.

M3 - Article

SP - 233

EP - 242

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

SN - 0030-8730

ER -