Quasi-isometric Co-hopficity of Non-uniform Lattices in Rank-one Semi-simple Lie Groups

نویسندگان

  • ILYA KAPOVICH
  • A. LUKYANENKO
چکیده

We prove that if G is a non-uniform lattice in a rank-one semisimple Lie group = Isom(H2 R ), then G is quasi-isometrically co-Hopf. This means that every quasi-isometric embedding G → G is coarsely surjective and thus is a quasi-isometry.

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تاریخ انتشار 2012