5 papers
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…
Block-exoticity of reduction simple fusion systems on
Jun Liao, Yikun Liu
In this paper, we prove that for and , every reduction simple fusion system on the finite -group is block-exotic. Furthermore, we establish…
The kernels of powers of linear operator via Weyr characteristic
Jie Jian, Jun Liao, Heguo Liu
The adjoint of a matrix in the Lie algebra associated with a matrix algebra is a fundamental operator, which can be generalized to a more general operator $φ_{AB}: X\rightarrow AX-…
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…
Control of Fusion by Abelian Subgroups of the Hyperfocal Subgroup
Ellen Henke, Jun Liao
We prove that an isomorphism between saturated fusion systems over the same finite p-group is detected on the elementary abelian subgroups of the hyperfocal subgroup if p is odd, a…