Groups definable in partial differential fields with an automorphism

 

Gorde:
Xehetasun bibliografikoak
Egileak: Bustamante Medina, Ronald F., Chatzidakis, Zoé, Montenegro Guzmán, Samaria
Formatua: artículo preliminar
Argitaratze data:2021
Deskribapena: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.
Herria:Kérwá
Erakundea:Universidad de Costa Rica
Repositorio:Kérwá
Hizkuntza:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/87504
Sarrera elektronikoa:https://arxiv.org/abs/2104.10632
https://hdl.handle.net/10669/87504
Gako-hitza:Model Theory
Differential Fields
Difference Fields
Logic
Algebraic Groups
LÓGICA
ALGEBRA
MODELO MATEMÁTICO
MATEMÁTICAS