Ningyuan Yao

activity

20172026

p

-adic definable groups

10 citations · 17 across the 15 of their papers we have counts for

collaborators

16 papers

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.LO2023

On definable $f$ -generic groups and minimal flows in $p$ -adically closed fields

Ningyuan Yao, Zhentao Zhang

Let $X$ be a definable group definable over a small model $M_{0}$ . Recall that a global type $p$ on $X$ is definable $f$ -generic over $M_{0}$ if every left translate of $p$ is definabl…

math.LO2023

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…

math.LO2023

Generic stability of linear algebraic groups over $C [[t]]$

Chen Ling, Ningyuan Yao

Let $K$ be a henselian valued field with $O_{K}$ its valuation ring, $Γ$ its value group, and $k$ its residue field. We study the definable subsets of ${\cal O}_K…

math.GR2023

Open subgroups of $p$ -adic algebraic groups

Anand Pillay, Ningyuan Yao

In \cite{Pillay} and more formally in \cite{Onshuus-Pillay} it was asked whether open subgroups of $p$ -adic algebraic groups are ( $p$ -adic) semialgebraic, equivalently, definable i…

math.LO2023

On minimal flows of commutative $p$ -adic groups

Ningyuan Yao, Zhentao Zhang

We study the definable topological dynamics $(G, S_{G} (M))$ of a definable group acting on its type space, where $M$ is a structure and $G$ is a group definable in $M$ . In \cite{Newel…

math.LO2022

On minimal flows and definable amenability in some distal NIP theories

Ningyuan Yao, Zhentao Zhang

We study the definable topological dynamics $(G (M), S_{G} (M))$ of a definable group acting on its type space, where $M$ is either an $o$ -minimal structure or a $p$ -adically closed fi…

math.LO2022★ 1 cited

Abelian groups definable in $p$ -adically closed fields

Will Johnson, Ningyuan Yao

Recall that a group $G$ has finitely satisfiable generics ( $f s g$ ) or definable $f$ -generics ( $df g$ ) if there is a global type $p$ on $G$ and a small model $M_{0}$ such that every lef…

math.LO2021

Definably Topological Dynamics of $p$ -Adic Algebraic Groups

Jiaqi Bao, Ningyuan Yao

We study the $p$ -adic algebraic groups $G$ from the definable topological-dynamical point of view. We consider the case that $M$ is an arbitrary $p$ -adic closed field and $G$ an al…

math.LO2021★ 10 cited

On non-compact $p$ -adic definable groups

Will Johnson, Ningyuan Yao

Peterzil and Steinhorn proved that if a group $G$ definable in an $o$ -minimal structure is not definably compact, then $G$ contains a definable torsion-free subgroup of dimension o…

math.LO2020★ 3 cited

On Dimensions, Standard Part Maps, and $p$ -Adically Closed Fields

Ningyuan Yao

The aim of this paper is to study the dimensions and standard part maps between the field of $p$ -adic numbers $Q_{p}$ and its elementary extension $K$ in the language of…

math.LO2019

On groups with definable $f$ -generics definable in $p$ -adically closed fields

Anand Pillay, Ningyuan Yao

The aim of this paper is to develop the theory of groups definable in the $p$ -adic field $Q_{p}$ , with ``definable $f$ -generics" in the sense of an ambient saturated elemen…

math.LO2019

Definable Topological Dynamics for Trigonalizable Algebraic Groups over Qp

Ningyuan Yao

We study the flow (G(Qp); SG(Qp)) of trigonalizable algebraic group acting on its type space, focusing on the problem raised in [17] of whether weakly generic types coincide with a…

math.LO2018

A note on groups definable in the p-adic field

Anand Pillay, Ningyuan Yao

It is known that a group G definable in the field of p-adic numbers is definably locally isomorphic to the group of Q_p-points of a connected algebraic group H defined over Q_p. We…

math.LO2017★ 3 cited

Some model theory and topological dynamics of p-adic algebraic groups

Davide Penazzi, Anand Pillay, Ningyuan Yao

We initiate the study of p-adic algebraic groups G from the stability-theoretic and definable topological-dynamical points of view, that is, we consider invariants of the action of…

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

On groups definable in p-adically closed fields

On definable f-generic groups and minimal flows in p-adically closed fields

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

Generic stability of linear algebraic groups over C[[t]]

Open subgroups of p-adic algebraic groups

On minimal flows of commutative p-adic groups

On minimal flows and definable amenability in some distal NIP theories

Abelian groups definable in p-adically closed fields

Definably Topological Dynamics of p-Adic Algebraic Groups

On non-compact p-adic definable groups

On Dimensions, Standard Part Maps, and p-Adically Closed Fields

On groups with definable f-generics definable in p-adically closed fields

Definable Topological Dynamics for Trigonalizable Algebraic Groups over Qp

A note on groups definable in the p-adic field

Some model theory and topological dynamics of p-adic algebraic groups

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

On groups definable in $p$ -adically closed fields

On definable $f$ -generic groups and minimal flows in $p$ -adically closed fields

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

Generic stability of linear algebraic groups over $C [[t]]$

Open subgroups of $p$ -adic algebraic groups

On minimal flows of commutative $p$ -adic groups

Abelian groups definable in $p$ -adically closed fields

Definably Topological Dynamics of $p$ -Adic Algebraic Groups

On non-compact $p$ -adic definable groups

On Dimensions, Standard Part Maps, and $p$ -Adically Closed Fields

On groups with definable $f$ -generics definable in $p$ -adically closed fields