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A characterization of the groups PSLn(q) and PSUn(q) by their 2-fusion systems, q oddKaspczyk, Julian 31 May 2024 (has links)
Let q be a nontrivial odd prime power, and let 𝑛 ≥ 2 be a natural number with (𝑛, 𝑞) ≠ (2, 3). We characterize the groups 𝑃𝑆𝐿𝑛(𝑞) and 𝑃𝑆𝑈𝑛(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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