A note on fsg groups in p-adically closed fields
Logic
2022-03-30 v2
Abstract
Let be a definable group in a -adically closed field . We show that has finitely satisfiable generics (fsg) if and only if is definably compact. The case was previously proved by Onshuus and Pillay.
Cite
@article{arxiv.2108.06092,
title = {A note on fsg groups in p-adically closed fields},
author = {Will Johnson},
journal= {arXiv preprint arXiv:2108.06092},
year = {2022}
}
Comments
10 pages; added acknowledgment and Remark 5.7, fixed typo