On maximal stable quotients of definable groups in NIP theories
Logic
2016-06-06 v1
Abstract
For G a group definable in an NIP theory we prove that there is a smallest type-definable subgroup H of G such that the quotient G/H is stable. This generalizes the existence of G^00, the smallest type-definable subgroup of G of bounded index.
Cite
@article{arxiv.1606.01182,
title = {On maximal stable quotients of definable groups in NIP theories},
author = {Mike Haskel and Anand Pillay},
journal= {arXiv preprint arXiv:1606.01182},
year = {2016}
}
Comments
7 pages