Publisher： Cambridge University Press
E-ISSN： 1475-3030|13|4|849-893
ISSN： 1474-7480
Source： Journal of the Institute of Mathematics of Jussieu, Vol.13, Iss.4, 2014-10, pp. : 849-893
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
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.
Related content
Type-definable and invariant groups in o-minimal structures
The Journal of Symbolic Logic, Vol. 72, Iss. 1, 2007-03 ,pp. :
Access to resources
Recommend
Groups definable in linear o-minimal structures: the non-compact case
The Journal of Symbolic Logic, Vol. 75, Iss. 1, 2010-03 ,pp. :
Diophantine properties of sets definable in o-minimal structures
The Journal of Symbolic Logic, Vol. 69, Iss. 3, 2004-09 ,pp. :
Some remarks on definable equivalence relations in O-minimal structures
The Journal of Symbolic Logic, Vol. 51, Iss. 3, 1986-09 ,pp. :
Topological properties of sets definable in weakly o-minimal structures
The Journal of Symbolic Logic, Vol. 75, Iss. 3, 2010-09 ,pp. :