G-linear sets and torsion points in definably compact groups

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let G be a definably compact group in an o-minimal expansion of a real closed field. We prove that if dim(G X) < dim G for some definable X subset of G then X contains a torsion point of G. Along the way we develop a general theory for so-called G-linear sets, and investigate definable sets which contain abstract subgroups of G.
17 pages

Keywords

Logic, 03C64

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/135534

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.0532
 http://arxiv.org/abs/0708.0532

Collections

arXiv