A note on fsg groups in p-adically closed fields

Abstract

Let $G$ be a definable group in a $p$-adically closed field $M$. We show that $G$ has finitely satisfiable generics (fsg) if and only if $G$ is definably compact. The case $M={\mathbb{Q}}_p$ was previously proved by Onshuus and Pillay.

10 pages; added acknowledgment and Remark 5.7, fixed typo

References in corpus (1)

• On non-compact $p$-adic definable groups