Abstract
We construct generic Picard-Vessiot extensions for linear algebraic groups G which are isomorphic to the semidirect product of a connected group G0 by a finite group H, where the adjoint H-action on the Lie algebra of G0 is faithful.
Original language | English |
---|---|
Pages (from-to) | 194-206 |
Number of pages | 13 |
Journal | Journal of Algebra |
Volume | 312 |
Issue number | 1 |
DOIs | |
State | Published - Jun 1 2007 |
Keywords
- Galois theory
- Generic extensions
- Linear differential equations
- Picard-Vessiot