论文标题
$ \ operatorname {alt}（n）$在有限莫利等级的行动中
Actions of $\operatorname{Alt}(n)$ on groups of finite Morley rank without involutions
论文作者
论文摘要
我们将$ \ operatotorname {alt}（n）$的忠实表示形式作为有限莫利等级的$ g $的自动形态。我们将$ n $的下限定位在这种不可偿还的$ g $中，而我们的主要结果在$ g $没有互动的情况下实现了这一点。在分析过程中，通过利用Abelian案的最新结果，我们还证明了可解决的$ G $的相应限制。我们最终应用了对有限莫利等级的排列群体的通用透过性程度的自然限制。
We investigate faithful representations of $\operatorname{Alt}(n)$ as automorphisms of a connected group $G$ of finite Morley rank. We target a lower bound of $n$ on the rank of such a nonsolvable $G$, and our main result achieves this in the case when $G$ is without involutions. In the course of our analysis, we also prove a corresponding bound for solvable $G$ by leveraging recent results on the abelian case. We conclude with an application towards establishing natural limits to the degree of generic transitivity for permutation groups of finite Morley rank.
