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Article Dans Une Revue Transactions of the American Mathematical Society Année : 2021

Simplicity of fusion systems of finite simple groups

Bob Oliver
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Albert Ruiz

Résumé

We determine for which known finite simple groups $G$ and which primes $p$ the $p$-fusion system of $G$ is simple. This means first collecting together the results that were already known (and correcting two errors made in an earlier study of this question), and then handling the remaining cases. At the same time, we develop some new tools to use when determining $O^{p'}(\mathcal{F})$ for arbitrary saturated fusion systems.
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hal-03840884 , version 1 (12-07-2024)

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Bob Oliver, Albert Ruiz. Simplicity of fusion systems of finite simple groups. Transactions of the American Mathematical Society, 2021, 374 (11), pp.7743-7777. ⟨10.1090/tran/8424⟩. ⟨hal-03840884⟩
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