论文标题
一小组有限的莫利排名很高
Small groups of finite Morley rank with a supertight automorphism
论文作者
论文摘要
让$ g $是一个无限的有限摩尔利等级和Prüfer$ 2 $ -RANK $ 1 $的简单组，该$ 1 $ $ 1 $，它承认了超晶体自动形态的$α$，因此所有整数$ n> 0 $ nixot-subgroup $ c_g（α^n）$是Pseudofinite。我们证明，对于某些代数封闭的特征$ \ neq 2 $的代数封闭的字段$ k $，$ g \ cong {\ rm pgl} _2（k）$。
Let $G$ be an infinite simple group of finite Morley rank and of Prüfer $2$-rank $1$ which admits a supertight automorphism $α$ such that the fixed-point subgroup $C_G(α^n)$ is pseudofinite for all integers $n > 0$. We prove that $G \cong {\rm PGL}_2(K)$ for some algebraically closed field $K$ of characteristic $\neq 2$.
