Xiaogang Li

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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…

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