Yu Zeng

collaborators

5 papers

math.GR2026

Hall complement numbers

Yu Zeng, Hangyang Meng

A positive integer $m$ is termed a \emph{Hall number} if every finite group $G$ whose order is precisely divisible by $m$ possesses a Hall subgroup of order $m$ . Seeking generaliza…

math.GR2026

An infinite family of counterexamples to a question of Camina

Yu Zeng

A.R. Camina and R.D. Camina posed in [CC06] the following question: Suppose there are two finite groups, one nilpotent and the other non-nilpotent, and the two groups share identic…

math.GR2025

On $p$ -parts of conjugacy class sizes and the index of the $p$ -core

Yu Zeng, Jinbao Li, Yong Yang

For a prime $p$ and an arbitrary finite group $G$ , we show that if $p^{2}$ does not divide the size of each conjugacy class of \emph{ $p$ -regular} element (element of order not divi…

math.GR2025

Finite groups of non-prime-power order with exactly four character codegrees

Yu Zeng, Mehdi Ghaffarzadeh, Mohsen Ghasemi +1

For an irreducible complex character $Ï$ of a finite group $G$, the \emph{codegree} of $Ï$ is defined as the ratio $|G : \ker(Ï)| / Ï(1)$, where $\ker(Ï)$ represents…

math.GR2025

Finite groups with exactly two nonlinear irreducible $p$ -Brauer characters

Fuming Jiang, Yu Zeng

Let $p$ be a prime. We classify the finite groups having exactly two irreducible $p$ -Brauer characters of degree larger than one. The case, where the finite groups have orders not…

Hall complement numbers

An infinite family of counterexamples to a question of Camina

On p-parts of conjugacy class sizes and the index of the p-core

Finite groups of non-prime-power order with exactly four character codegrees

Finite groups with exactly two nonlinear irreducible p-Brauer characters

On $p$ -parts of conjugacy class sizes and the index of the $p$ -core

Finite groups with exactly two nonlinear irreducible $p$ -Brauer characters