The group configuration theorem for generically stable types
Logic
2023-09-13 v3
Abstract
We generalize Hrushovski's group configuration theorem to the case where the type of the configuration is generically stable, without assuming tameness of the ambient theory. The properties of generically stable types, which we recall in the first section, enable us to adapt the proof known in the stable context.
Cite
@article{arxiv.2209.03081,
title = {The group configuration theorem for generically stable types},
author = {Paul Z. Wang},
journal= {arXiv preprint arXiv:2209.03081},
year = {2023}
}
Comments
42 pages, 7 figures. This version contains more detailed proofs and a rearranged structure. Many changes were suggested by a referee