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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Cite this
Juan, L., Chinburg, T., & Magid, A. (2009). Picard-Vessiot extensions with specified Galois group. Pacific Journal of Mathematics, 233-242.