Abstract
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.