Ningyuan Yao

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math.LO2026

Newelski's Conjecture for $o$ -Minimal and $p$ -Adic Groups

Ningyuan Yao, Zhentao Zhang

Let $M_{0}$ denote either the field structure $Q_{p}$ of $p$ -adic numbers, or an $o$ -minimal expansion of the field structure $R$ of real numbers. We investig…

math.LO2026

On groups definable in $p$ -adically closed fields

Anand Pillay, Ningyuan Yao, Zhentao Zhang

This paper is about the $df g$ / $f s g$ decomposition for groups $G$ definable in $p$ -adically closed fields. It is proved that for $G$ definably amenable, $G$ has a definable normal $…

math.LO2024

One-dimensional subgroups and connected components in non-abelian $p$ -adic definable groups

Will Johnson, Ningyuan Yao

We generalize two of our previous results on abelian definable groups in $p$ -adically closed fields to the non-abelian case. First, we show that if $G$ is a definable group that is…

Newelski's Conjecture for o-Minimal and p-Adic Groups

On groups definable in p-adically closed fields

One-dimensional subgroups and connected components in non-abelian p-adic definable groups

Newelski's Conjecture for $o$ -Minimal and $p$ -Adic Groups

On groups definable in $p$ -adically closed fields

One-dimensional subgroups and connected components in non-abelian $p$ -adic definable groups