论文标题
免费$ \ MATHBB Q $ -Groups是无扭转的nilpotent
Free $\mathbb Q$-groups are residually torsion-free nilpotent
论文作者
论文摘要
我们开发了一种方法来表明某些（摘要）组可以嵌入到免费的Pro-P $组中。特别是，我们表明，免费生成的免费$ \ Mathbb Q $ -Group的有限生成的子组可以嵌入到几乎所有Primes $ p $的免费Pro-P $组中。这解决了G. Baumslag提出的一个旧问题：免费$ \ Mathbb Q $ -Groups是无扭转的nilpotent。
We develop a method to show that some (abstract) groups can be embedded into a free pro-$p$ group. In particular, we show that a finitely generated subgroup of a free $\mathbb Q$-group can be embedded into a free pro-$p$ group for almost all primes $p$. This solves an old problem raised by G. Baumslag: free $\mathbb Q$-groups are residually torsion-free nilpotent.
