Xiaogang Li

collaborators

3 papers

math.RT2026

Permutation groups and symmetric Hecke algebras

Jiawei He, Xiaogang Li

The endomorphism algebras of the permutation modules for transitive permutation groups, known as Hecke algebras, are fundamental objects in representation theory. While group algeb…

math.GR2024

On finite totally k-closed groups

Jiawei He, Xiaogang Li

Let $G$ be a finite group acting faithfully on a finite set $Ω$ . For a positive integer $k$ , $G$ acts naturally on the Catesian product $Ω^{k} := Ω \times ... \times Ω$ . In this paper,…

math.GR2024

The endomorphism rings of permutation modules of $\frac{3}{2}$ -transitive permutation groups

Jiawei He, Xiaogang Li

Recent classification of $\frac{3}{2}$ -transitive permutation groups leaves us with six families of groups which are $2$ -transitive, or Frobenius, or one-dimensional affine, or the…

Permutation groups and symmetric Hecke algebras

On finite totally k-closed groups

The endomorphism rings of permutation modules of 23​-transitive permutation groups

The endomorphism rings of permutation modules of $\frac{3}{2}$ -transitive permutation groups