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Título:
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Cartan subgroups and regular points of o?minimal groups
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Autores:
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Baro González, Elías ;
Berarducci, Alessandro ;
Otero, Margarita
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Tipo de documento:
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texto impreso
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Editorial:
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London Mathematical Society, 2019-10-01
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas
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Materia = Ciencias: Matemáticas: Grupos (Matemáticas)
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Materia = Ciencias: Matemáticas: Lógica simbólica y matemática
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Tipo = Artículo
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Resumen:
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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.
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En línea:
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https://eprints.ucm.es/57844/1/Baro10.pdf
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