论文标题

将有限的团体视为汽车

Realizing Finite Groups as Automizers

论文作者

Bayard, Sylvia, Lynd, Justin

论文摘要

结果表明,任何有限的$ a $ a $都是在有限的完美集团$ g $的ABELIAN子群中,其共轭产生$ g $的自动化机。该构建使用融合系统的技术在任意有限群体上,最值得注意的是,对最初由Park研究的类型的融合系统进行了一些实现的结果。

It is shown that any finite group $A$ is realizable as the automizer in a finite perfect group $G$ of an abelian subgroup whose conjugates generate $G$. The construction uses techniques from fusion systems on arbitrary finite groups, most notably certain realization results for fusion systems of the type studied originally by Park.

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