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Cartan subgroups of groups definable in o-minimal structures

Published online by Cambridge University Press:  28 November 2013

Elías Baro
Affiliation:
Departamento de Álgebra, Facultad de Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain
Eric Jaligot
Affiliation:
Institut Fourier, CNRS, Université Grenoble I, 100 rue des maths, BP 74, 38402 St Martin d’Hères cedex, France
Margarita Otero
Affiliation:
Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain (margarita.otero@uam.es)

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.

Type
Research Article
Copyright
©Cambridge University Press 2013 

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