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 $H< G$ such that $H/[H,H]\simeq \mathbb{Z}^{r}$ for some $r$.
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closed as too localized by Mark Sapir, Simon Thomas, Igor Belegradek, Andreas Thom, Agol Aug 25 2011 at 17:37 |
