Fusion systems with J-components over 𝐹2𝑒 with 𝑒 > 1

Pub Date : 2022-08-20 DOI:10.1515/jgth-2020-0156
M. Aschbacher
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Abstract

Abstract Let 𝐾 be a finite simple group of Lie type over a field of even order q > 2 q>2 . If 𝐾 is not F 4 2 ⁢ ( q ) {}^{2}F_{4}(q) , then we determine the fusion systems ℱ of J-component type with a fully centralized involution 𝑗 such that C F ⁢ ( j ) C_{\mathcal{F}}(j) has a component realized by 𝐾. The exceptional case is treated in a later paper.
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融合系统与j组件𝐹2𝑒与𝑒> 1
摘要设𝐾为偶数阶q>2 q>2域上的一个Lie型有限简单群。如果𝐾不为f4²(q) {}^{2}F_{4}(q),则确定具有完全集中对合𝑗的j分量型融合系统,使得C F²(j) C_{\mathcal{F}}(j)有一个由𝐾实现的分量。这种例外情况将在以后的一篇论文中讨论。
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