We prove that a type-definable Lascar strong type has finite diameter. We also answer some other questions from [1] on Lascar strong types. We give some applications on subgroups of type-definable groups.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm176-2-4,
author = {Ludomir Newelski},
title = {The diameter of a Lascar strong type},
journal = {Fundamenta Mathematicae},
volume = {177},
year = {2003},
pages = {157-170},
zbl = {1020.03032},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm176-2-4}
}
Ludomir Newelski. The diameter of a Lascar strong type. Fundamenta Mathematicae, Tome 177 (2003) pp. 157-170. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm176-2-4/