论文标题
自由组有限生成的亚组的可超过封闭
Supersolvable closures of finitely generated subgroups of the free group
论文作者
论文摘要
我们证明了自由组的有限生成的子组的亲抗封闭是有限生成的。它扩展了Ribes-Zalesskii和Margolis-Sapir-Weil证明的Ribes-Zalesskii和Pro-Nilpotent关闭所证明的相似结果。
We prove the pro-supersolvable closure of a finitely generated subgroup of the free group is finitely generated. It extends similar results for pro-$p$ closures proved by Ribes-Zalesskii and pro-Nilpotent closures proved by Margolis-Sapir-Weil.
