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Aug 13, 2013 at 19:14 vote accept Jiang
Aug 11, 2013 at 20:15 comment added Derek Holt I typed the wrong symbol. I meant ${\mathbb Z}^d \rtimes {\mathbb Z}^k$ with $k>1$. You can construct examples like that from algebraic number fields $K$, where you let the torsion-free part of the group of units of $K$ act on the additive group of the integers of $K$, and the action is given by multiplication in $K$.
Aug 11, 2013 at 19:28 comment added Jiang @DerekHolt, what does $\vartriangleleft$ mean?
Aug 11, 2013 at 17:36 comment added Derek Holt Would one of type ${\mathbb Z}^d \lhd {\mathbb Z}^2$ suit?
Aug 11, 2013 at 16:14 comment added Jiang thanks! For the type of $G$, I mean the type of $\mathbb{Z}^d\rtimes \mathbb{Z}$, maybe I should state it clearly next time.
Aug 11, 2013 at 15:57 history answered Lee Mosher CC BY-SA 3.0