Groups definable in partial differential fields with an automorphism

 

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Detalles Bibliográficos
Autores: Bustamante Medina, Ronald F., Chatzidakis, Zoé, Montenegro Guzmán, Samaria
Formato: artículo preliminar
Fecha de Publicación:2021
Descripción: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.
País:Kérwá
Institución:Universidad de Costa Rica
Repositorio:Kérwá
Lenguaje:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/87504
Acceso en línea:https://arxiv.org/abs/2104.10632
https://hdl.handle.net/10669/87504
Palabra clave:Model Theory
Differential Fields
Difference Fields
Logic
Algebraic Groups
LÓGICA
ALGEBRA
MODELO MATEMÁTICO
MATEMÁTICAS