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 |