Zhentao Zhang

activity

20222026

collaborators

10 papers

math.LO2026

Minimal proximal definable flows over the $p$ -adics

Zhentao Zhang

Let $G$ be a definable group in an NIP theory. We prove that every minimal proximal definable $G$ -flow is strongly proximal. Consequently, the universal minimal proximal definable…

math.LO2026

Weak regularity and one-parameter subgroups of definable $p$ -adic Lie groups

Zhentao Zhang

We prove that every group $G$ definable in the pure $p$ -adic field $Q_{p}$ is weakly regular. We show that every one-parameter subgroup is definable. We also show that its o…

math.LO2026

Independence relations induced by ideals

Zhentao Zhang

Inspired by the non-meager independence $↓^{nm}$ introduced by Krupiński [3], we study further possible independence relations induced by ideals and provide a general fram…

math.LO2026

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

Ningyuan Yao, Zhentao Zhang

Let $M_{0}$ denote either the field of $p$ -adic numbers $Q_{p}$ or an $o$ -minimal expansion of the real field $R$ . We study the minimal flows and Ellis groups of grou…

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.LO2025

On definable J-sets

Zhentao Zhang

We study definable J-sets for definable groups and compare them with weakly generic sets. We show that the property that J-sets coincide with weakly generic sets is invariant on en…

Minimal proximal definable flows over the p-adics

Weak regularity and one-parameter subgroups of definable p-adic Lie groups

Independence relations induced by ideals

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

On groups definable in p-adically closed fields

On definable J-sets

Minimal proximal definable flows over the $p$ -adics

Weak regularity and one-parameter subgroups of definable $p$ -adic Lie groups

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

On groups definable in $p$ -adically closed fields