Universidad Complutense de Madrid
E-Prints Complutense

Cartan subgroups and regular points of o‐minimal groups



Downloads per month over past year

Baro González, Elías and Berarducci, Alessandro and Otero, Margarita (2019) Cartan subgroups and regular points of o‐minimal groups. Journal of the London Mathematical Society . ISSN 1469-7750

[thumbnail of Baro10.pdf]

Official URL: https://londmathsoc.onlinelibrary.wiley.com/doi/full/10.1112/jlms.12216


Let G be a group definable in an o-minimal structure M. We prove that the union of the Cartan subgroups of G is a dense subset of G. When M is an expansion of a real closed field we give a characterization of Cartan subgroups of G via their Lie algebras which allow us to prove firstly, that every Cartan subalgebra of the Lie algebra of G is the Lie algebra of a definable subgroup – a Cartan subgroup of G –, and secondly, that the set of regular points of G – a dense subset of G – is formed by points which belong to a unique Cartan subgroup of G.

Resumen (otros idiomas)

Item Type:Article
Uncontrolled Keywords:Lógica simbólica y matemática, Teoría de grupos
Palabras clave (otros idiomas):Mathematical logic and foundations, Group theory
Subjects:Sciences > Mathematics
Sciences > Mathematics > Group Theory
Sciences > Mathematics > Logic, Symbolic and mathematical
ID Code:57844
Deposited On:21 Nov 2019 11:30
Last Modified:21 Nov 2019 11:55

Origin of downloads

Repository Staff Only: item control page