实现某些Todd模块的融合系统

IF 0.4 3区数学 Q4 MATHEMATICS

Journal of Group Theory Pub Date : 2022-04-16 DOI:10.1515/jgth-2022-0074

B. Oliver

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引用次数: 2

摘要

摘要研究了一类有限3群上的简单融合系统，这些系统涉及Mathieu群的Todd模2 ^ m12 2M_{12}， m11 M_{11}，以及a6 = o2 ^ (m10) A_{6}=O^{2}(M_{10})在f3 \mathbb{F}_{3}上的3融合系统，并证明了它们都是几乎简单群的3融合系统同构的。作为结果之一，我们给出了康威散散单群的新的三局部刻画。

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Fusion systems realizing certain Todd modules

Abstract We study a certain family of simple fusion systems over finite 3-groups, ones that involve Todd modules of the Mathieu groups 2 ⁢ M 12 2M_{12} , M 11 M_{11} , and A 6 = O 2 ⁢ ( M 10 ) A_{6}=O^{2}(M_{10}) over F 3 \mathbb{F}_{3} , and show that they are all isomorphic to the 3-fusion systems of almost simple groups. As one consequence, we give new 3-local characterizations of Conway’s sporadic simple groups.

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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