Torsors for difference algebraic groups

Annette Bachmayr*, Michael Wibmer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We introduce a cohomology set for groups defined by algebraic difference equations and show that it classifies torsors under the group action. This allows us to compute all torsors for large classes of groups. We also present an application to the Galois theory of differential equations depending on a discrete parameter.
Original languageEnglish
Article number2150068
JournalCommunications in Contemporary Mathematics
Early online date2021
Publication statusE-pub ahead of print - 2021


  • Cohomology
  • Descent for difference varieties
  • Difference algebraic groups
  • Torsors

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematics(all)


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