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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  .

Cartan subgroups and regular points of o‐minimal groups