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Abstract: Let G be a definably compact group in an o-minimal expansion of a real closedfield. We prove that if dimG X < dim G for some definable X subset of G thenX contains a torsion point of G. Along the way we develop a general theory forso-called G-linear sets, and investigate definable sets which contain abstractsubgroups of G.



Autor: Margarita Otero Universidad Autónoma de Madrid, Ya'acov Peterzil University of Haifa

Fuente: https://arxiv.org/







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