Yuedi Zeng

activity

20212026

collaborators

8 papers

math.GR2026

Degrees of $p$ -rational characters and normality of Sylow $p$ -subgroups

Silvio Dolfi, Pham Huu Tiep, Yu Zeng

Several refinements of (the normality part of) the celebrated Itô--Michler theorem were obtained during the last two decades, in which the condition of having $p^{'}$ -degree, for a fi…

math.GR2023

Finite groups with a small proportion of vanishing elements

Dongfang Yang, Yu Zeng, Silvio Dolfi

The function $P_{v} (G)$ , measuring the proportion of the elements of a finite group $G$ that are zeros of irreducible characters of $G$ , takes (as proved in [12])…

math.GR2022

Finite groups with some bounded codegrees

Dongfang Yang, Yu Zeng, Heng Lv

For a character $χ$ of a finite group $G$ , the number cod $(χ) := ∣ G : ker (χ) ∣/ χ (1)$ is called the codegree of $χ$ .In this paper, we give a solvability criterion for a finite g…

math.GR2022

Nonsolvable groups with three nonlinear irreducible character codegrees

Dongfang Yang, Yu Zeng

For an irreducible character $χ$ of a finite group $G$ , the codegree of $χ$ is defined as $∣ G : ker (χ) ∣/ χ (1)$ . In this paper, we determine finite nonsolvable groups with exactly thr…

math.GR2022

A characterization of finite groups by certain Galois conjugacy class of irreducible characters

Yu Zeng, Dongfang Yang

We classify the finite groups $G$ which satisfies the condition that every complex irreducible character,whose degree's square doesn't divide the index of its kernel in $G$ , lies i…

math.GR2022

On finite groups with certain complemented $p$ -subgroups

Yu Zeng

Given a prime power $p^{d}$ with $p$ a prime and $d$ a positive integer, we classify the finite groups $G$ with $p^{2 d}$ dividing $∣ G ∣$ in which all subgroups of order $p^{d}$ are comp…

math.GR2022

On the proportion of vanishing elements in finite groups

Yu Zeng, Dongfang Yang, Silvio Dolfi

We prove that the function $P_{v} (G)$ , measuring the proportion of the elements of a finite group $G$ that are zeros of irreducible characters of $G$ , takes very…

math.GR2021

On $M$ -supplemented subgroups

Yu Zeng

Let $G$ be a finite group and $p^{k}$ be a prime power dividing $∣ G ∣$ . A subgroup $H$ of $G$ is called to be $M$ -supplemented in $G$ if there exists a subgroup $K$ of $G$ s…

Degrees of p-rational characters and normality of Sylow p-subgroups

Finite groups with a small proportion of vanishing elements

Finite groups with some bounded codegrees

Nonsolvable groups with three nonlinear irreducible character codegrees

A characterization of finite groups by certain Galois conjugacy class of irreducible characters

On finite groups with certain complemented p-subgroups

On the proportion of vanishing elements in finite groups

On M-supplemented subgroups

Degrees of $p$ -rational characters and normality of Sylow $p$ -subgroups

On finite groups with certain complemented $p$ -subgroups

On $M$ -supplemented subgroups