A note on fsg groups in p-adically closed fields

Will Johnson

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arXiv · 2108.06092

A note on fsg groups in p-adically closed fields

Will Johnson

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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.

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BibTeX RIS

Will Johnson. 2021-08-13. A note on fsg groups in p-adically closed fields. https://arxiv.org/abs/2108.06092

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