Geodesic
A characterization of the groups $PSL_n(q)$ and $PSU_n(q)$ by their $2$-fusion systems, q odd
Forum of Mathematics, Sigma, Tome 10 (2022)

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Let q be a nontrivial odd prime power, and let $n \ge 2$ be a natural number with $(n,q) \ne (2,3)$. We characterize the groups $PSL_n(q)$ and $PSU_n(q)$ by their $2$-fusion systems. This contributes to a programme of Aschbacher aiming at a simplified proof of the classification of finite simple groups. 
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     author = {Julian Kaspczyk},
     title = {A characterization of the groups $PSL_n(q)$ and $PSU_n(q)$ by their $2$-fusion systems, q odd},
     journal = {Forum of Mathematics, Sigma},
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Julian Kaspczyk. A characterization of the groups $PSL_n(q)$ and $PSU_n(q)$ by their $2$-fusion systems, q odd. Forum of Mathematics, Sigma, Tome 10 (2022). doi: 10.1017/fms.2022.53

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