Groups definable in partial differential fields with an automorphism

Ronald F. Bustamante Medina, Zoé Chatzidakis, Samaria Montenegro

Published 2021-04-21Version 1

In this paper we study groups definable in existentially closed partial differential fields of characteristic 0 with an automorphism which commutes with the derivations. In particular, we study Zariski dense definable subgroups of simple algebraic groups, and show an analogue of Phyllis Cassidy's result for partial differential fields. We also show that these groups have a smallest definable subgroup of finite index.