论文标题
在Wieland的定理上用于融合系统和地方
On a Theorem of Wielandt for fusion systems and localities
论文作者
论文摘要
Wielandt的经典定理指出，有限组$ g $的任何两个亚正常子组都会产生$ g $的亚正常亚组。我们为常规局部和融合系统证明了该定理的版本。一路上，我们也证明了一个纯粹的群体理论结果，这可能具有独立的兴趣。
A classical theorem of Wielandt states that any two subnormal subgroups of a finite group $G$ generate a subnormal subgroup of $G$. We prove versions of this theorem for regular localities and for fusion systems. Along the way we prove also a purely group-theoretical result which may be of independent interest.
