Possible Duplicate:
Stably isomorphic groups
If $G$ and $H$ are two groups (finitely presented, if you wish) with the property that $G\times\mathbb{Z}$ is isomorphic to $H\times\mathbb{Z}$, does that imply that $G$ is isomorphic to $H$?
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closed as exact duplicate by Benjamin Steinberg, S. Carnahan♦ Apr 20 2012 at 3:13 |
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See http://mathoverflow.net/questions/33589/stably-isomorphic-groups (Hirshon's example is finitely presented). |
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