torsion subgroup

《Lecture Notes on Bayesian Estimation and Classification》 · 第 93 页 · Section 4.1「Torsion Groups and Divisible Groups」

Let $G$ be an abelian group and let $x$, $y$ be elements of $G$ with finite orders $m$, $n$ respectively. […] By the same token the elements of finite order form a subgroup $T$, the so-called torsion-subgroup of $G$: clearly $G/T$ is torsion-free.