Cartan subgroups of groups definable in o-minimal structures

Published 20 Sep 2011 in math.GR | (1109.4349v2)

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.

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