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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 14697750

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Official URL: https://londmathsoc.onlinelibrary.wiley.com/doi/full/10.1112/jlms.12216
Abstract
Let G be a group definable in an ominimal 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 
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