Jun Liao

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math.GR2024

Criteria for nilpotency of fusion systems

Jie Jian, Jun Liao, Heguo Liu

Let $p$ be an odd prime and let $F$ be a fusion system over a finite $p$ -group $P$ . A fusion system $F$ is said to be nilpotent if $\mathcal{F}=\mathcal{F}_{P}(…

math.GR2016

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…