Groups quasi-isometric to symmetric spaces. (Q5944143)
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scientific article; zbMATH DE number 1652733
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Groups quasi-isometric to symmetric spaces. |
scientific article; zbMATH DE number 1652733 |
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Groups quasi-isometric to symmetric spaces. (English)
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2001
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symmetric space
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quasi-isometry
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The authors prove that if \(X\) is a symmetric space of noncompact type and \(\Gamma\) is a finitely generated group quasi-isometric to the product \(\mathbb{E}^k\times X\), then there is an exact sequence NEWLINE\[NEWLINE1\to H\to\Gamma\to L\to 1,NEWLINE\]NEWLINE where \(H\) contains a finite index copy of \(\mathbb{Z}^k\) and \(L\) is a uniform lattice in the isometry group of \(X\).
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