Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 184

Preprint Number 184

Previous Next Preprint server

184. Jakub Gismatullin
Model theoretic connected components of groups

Submission date: 15 May 2009.


We give a general exposition of model theoretic connected components of groups. We show that if a group G has NIP, then there exists the smallest invariant (over some small set) subgroup of G with bounded index (Theorem 5.4). This result extends theorem of Shelah. We consider also in this context the multiplicative and the additive groups of an infinite field.

Mathematics Subject Classification: 03C60; 20A15

Keywords and phrases:

Full text arXiv: pdf, ps.

Last updated: May 18 2009 12:06 Please send your corrections to: