论文标题

有限简单组的融合系统的简单性

Simplicity of fusion systems of finite simple groups

论文作者

Oliver, Bob, Ruiz, Albert

论文摘要

我们确定哪些已知有限的简单组$ g $以及哪些Primes $ p $ $ g $的$ p $ - 融合系统很简单。这意味着首先将已知的结果收集在一起(并在对该问题的较早研究中纠正两个错误),然后处理其余案例。同时,在确定任意饱和融合系统的$ o^{p'}(\ Mathcal {f})$时,我们开发了一些新工具。

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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