Let ℳ be an o-minimal expansion of a real closed field. It is known that a definably connected abelian group is divisible. We show that a definably compact definably connected group is divisible.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm202-3-6,
author = {Margarita Otero},
title = {On divisibility in definable groups},
journal = {Fundamenta Mathematicae},
volume = {205},
year = {2009},
pages = {295-298},
zbl = {1165.03016},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm202-3-6}
}
Margarita Otero. On divisibility in definable groups. Fundamenta Mathematicae, Tome 205 (2009) pp. 295-298. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm202-3-6/