Submission date: 20 September 2011.

Abstract:

We prove that groups definable in o-minimal structures have Cartan subgroups, and only finitely many conjugacy classes of such subgroups. We also delineate with precision how these subgroups cover the ambient group, in general very largely in terms of the dimension.

Mathematics Subject Classification:

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Full text arXiv 1109.4349: pdf, ps.