融合系统与j组件𝐹2𝑒与𝑒> 1

IF 0.4 3区数学 Q4 MATHEMATICS

Journal of Group Theory Pub Date : 2022-08-20 DOI:10.1515/jgth-2020-0156

M. Aschbacher

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引用次数: 0

摘要

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

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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来源期刊

Journal of Group Theory 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Journal of Group Theory is devoted to the publication of original research articles in all aspects of group theory. Articles concerning applications of group theory and articles from research areas which have a significant impact on group theory will also be considered. Topics: Group Theory- Representation Theory of Groups- Computational Aspects of Group Theory- Combinatorics and Graph Theory- Algebra and Number Theory