Xingzhong Xu

collaborators

3 papers

math.GR2024

Control of fusion by elementary abelian subgroups of rank at least 2

Lizhong Wang, Xingzhong Xu, Jiping Zhang

In this paper, we focus on the subgroups control $p$ -fusion, and we improve the Theorem B of [4] for odd prime. For odd prime, we prove that elementary abelian subgroups of rank at…

math.GR2024

Transitive fusion systems over a class of finite p-groups

Rui Gao, Heguo Liu, Xingzhong Xu +1

Let $p$ be an odd prime and $S$ a nonabelian finite $p$ -group. In [9, 10], they proposed the following conjecture: if $F$ be a transitive fusion system over a finite $p$ -…

math.GR2024

On Oliver's $p$ -group conjecture for Sylow subgroups of unitary groups

Xingzhong Xu

In this paper, we focus on Oliver's $p$ -group conjecture. We use elementary method to prove that Oliver's $p$ -group conjecture holds for Sylow $p$ -subgroups of unitary groups.

Control of fusion by elementary abelian subgroups of rank at least 2

Transitive fusion systems over a class of finite p-groups

On Oliver's p-group conjecture for Sylow subgroups of unitary groups

On Oliver's $p$ -group conjecture for Sylow subgroups of unitary groups