Groups Quasi-isometric to H x R^n.

Eisenberg, Andy.


  • Abstract: We describe a conjectural characterization of all groups quasi-isometric to $H \times \R^n$, where $H$ is any non-elementary hyperbolic group, and we provide an outline of the steps required to establish such a characterization. We carry out several steps of this plan. We consider those lines $\widehat{L}$ in the asymptotic cone $\Cone_{\omega}(H)$ which, in a precise sense, ``arise from... read more
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