artículo preliminar
Groups definable in partial differential fields with an automorphism
Date
2021-09-28Registration in:
10.48550/arXiv.2104.10632
821-C0-464
Author
Bustamante Medina, Ronald F.
Chatzidakis, Zoé
Montenegro Guzmán, Samaria
Institutions
Abstract
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.