The derived subgroup of linear and simply-connected o-minimal groups
Logic
2019-12-19 v2 Group Theory
Abstract
We show that the derived subgroup of a linear definable group in an o-minimal structure is also definable, extending the semialgebraic case proved by A. Pillay. We also show the definability of the derived subgroup in case that the group is simply-connected.
Keywords
Cite
@article{arxiv.1802.07109,
title = {The derived subgroup of linear and simply-connected o-minimal groups},
author = {Elías Baro},
journal= {arXiv preprint arXiv:1802.07109},
year = {2019}
}
Comments
Final version of the paper