J. Liao

collaborators

3 papers

math.GR2026

Thompson's Conjecture for Finite Simple Groups of Lie Type over Small Fields

Jun Liao, Lizhong Wang, Jiping Zhang

We prove that every finite simple group of Lie type over a field of order at most 8 contains a conjugacy class whose square is the whole group. Together with the previously establi…

math.RT2026

Block-exoticity of reduction simple fusion systems on $S (n, p)$

Jun Liao, Yikun Liu

In this paper, we prove that for $p \geq 13$ and $5 \leq n \leq p - 3$ , every reduction simple fusion system on the finite $p$ -group $S (n, p)$ is block-exotic. Furthermore, we establish…

math.GR2022

On the local rank of fusion systems

Jun Liao, Heguo Liu, Baoshan Wang +1

In this paper we define the notion of local rank for fusion systems so as to reformulate the Alperin's weight conjecture in the framework of block fusion systems following the work…

Thompson's Conjecture for Finite Simple Groups of Lie Type over Small Fields

Block-exoticity of reduction simple fusion systems on S(n,p)

On the local rank of fusion systems

Block-exoticity of reduction simple fusion systems on $S (n, p)$