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/