Groups definable in partial differential fields with an automorphism

Zoé Chatzidakis (1) , Ronald F. Bustamante Medina , Samaria Montenegro

1 DMA - Département de Mathématiques et Applications - ENS Paris

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.

Domaines: Logique [math.LO]

Zoé Chatzidakis, Ronald F. Bustamante Medina, Samaria Montenegro. Groups definable in partial differential fields with an automorphism. 2021. ⟨hal-03227371⟩