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math.GR2006★ 31 cited
Amenable groups that act on the line
Dave Witte Morris
Let Gamma be a finitely generated, amenable group. Using an idea of E Ghys, we prove that if Gamma has a nontrivial, orientation-preserving action on the real line, then Gamma has…
math.GR2006★ 1 cited
Bounded generation and lattices that cannot act on the line
Lucy Lifschitz, Dave Witte Morris
Let D be an irreducible lattice in a connected, semisimple Lie group G with finite center. Assume that the real rank of G is at least two, that G/D is not compact, and that G has m…