most recent 30 from http://mathoverflow.net 2013-05-21T23:21:48Z http://mathoverflow.net/feeds/question/73650 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/73650/subgroup-of-a-finitely-generated-nilpotent-group Nick 2011-08-25T11:23:03Z 2011-08-25T11:23:03Z

<p>Let $G$ be a finitely generated nilpotent group. Then $G/[G,G]$ is finitely generated abelian group. Show that there exists a finite index subroup $H&lt; G$ such that $H/[H,H]\simeq \mathbb{Z}^{r}$ for some $r$.</p>