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Preprint Number 358

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358. Elias Baro, Eric Jaligot, Margarita Otero
Cartan subgroups of groups definable in o-minimal structures

Submission date: 20 September 2011.


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.

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Full text arXiv 1109.4349: pdf, ps.

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