CARTAN SUBGROUPS OF GROUPS DEFINABLE IN O-MINIMAL STRUCTURES

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU（2014）

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摘要

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.

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关键词

Lie groups,semialgebraic groups,groups definable in o-minimal structures,Cartan subgroups

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