论文标题
无限生成的扭转组的简单结构
A simple construction of infinite finitely generated torsion groups
论文作者
论文摘要
本说明的目的是提供戈洛德定理的另一个证明：存在一个无限生成的$ g $的无限生成的$ g $，以使$ g $的每个元素都有有限的订单。我们的证明基于Nielsen-Schreier指数公式，并且足够简单，可以包含在标准组理论课程中。
The goal of this note is to provide yet another proof of the following theorem of Golod: there exists an infinite finitely generated group $G$ such that every element of $G$ has finite order. Our proof is based on the Nielsen-Schreier index formula and is simple enough to be included in a standard group theory course.
