Generic Picard-Vessiot extensions for connected-by-finite groups

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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 languageEnglish
Pages (from-to)194-206
Number of pages13
JournalJournal of Algebra
Volume312
Issue number1
DOIs
StatePublished - Jun 1 2007

Keywords

  • Galois theory
  • Generic extensions
  • Linear differential equations
  • Picard-Vessiot

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