Is there any finitely generated group with a non-finitely generated subgroup? ($G$ is a finitely generated group if $\exists H\subset G$ ,$\langle H\rangle=G$ such that $H$ is intersection of all subgroup of $G$ that these $H$ is subset of these subgroups.) Thanks in advance
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2@YACP: Thanks for finding the duplicate question. I was sure there would be one but didn't find it in the quick search I tried. As for your reasons for voting down, I think only the last is at all valid, and even then it's better to first leave a comment asking to show effort. It's unfair to vote down for bad but comprehensible English, and I don't see what you mean by 'bad mathematical notions'. – Tara B Feb 19 '13 at 17:09
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@YACP: Yes, it does, it's clear that it means 'finitely generated'. By the way, did you flag this as a duplicate? – Tara B Feb 19 '13 at 17:14