Cartan subgroups of groups definable in o-minimal structures

Details Cartan subgroups of groups definable in o-minimal structures Cartan subgroups of groups definable in o-minimal structures

2011-09-20

arxiv.org/abs/1109.4349v1

Mathematics

Group Theory

Scientific paper

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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