Groups definable in partial differential fields with an automorphism

 

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Autors: Bustamante Medina, Ronald F., Chatzidakis, Zoé, Montenegro Guzmán, Samaria
Format: artículo preliminar
Data de publicació:2021
Descripció: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.
Pais:Kérwá
Institution:Universidad de Costa Rica
Repositorio:Kérwá
Idioma:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/87504
Accés en línia:https://arxiv.org/abs/2104.10632
https://hdl.handle.net/10669/87504
Paraula clau:Model Theory
Differential Fields
Difference Fields
Logic
Algebraic Groups
LÓGICA
ALGEBRA
MODELO MATEMÁTICO
MATEMÁTICAS