Jinbao Li

collaborators

3 papers

math.GR2026

Products of nonconjugate maximal subgroups

Jinbao Li, Yong Yang

We prove that a finite group $G$ is solvable whenever $M N = G$ for every pair of nonconjugate maximal subgroups $M, N < G$ . Equivalently, every finite nonsolvable group has two nonconju…

math.CO2025

Proof of a conjecture of Green and Liebeck on codes in symmetric groups

Teng Fang, Jinbao Li

Let $A$ and $B$ be subsets of a finite group $G$ and $r$ a positive integer. If for every $g \in G$ , there are precisely $r$ pairs $(a, b) \in A \times B$ such that $g = ab$ , then $B$ is…

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…

Products of nonconjugate maximal subgroups

Proof of a conjecture of Green and Liebeck on codes in symmetric groups

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

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