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• W2734853665 abstract "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." @default.
• W2734853665 created "2017-07-21" @default.
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• W2734853665 date "2019-04-01" @default.
• W2734853665 modified "2023-10-17" @default.
• W2734853665 title "Cartan subgroups and regular points of o‐minimal groups" @default.
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• W2734853665 doi "https://doi.org/10.1112/jlms.12216" @default.
• W2734853665 hasPublicationYear "2019" @default.
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