Around groups in Hilbert Geometry

  title={Around groups in Hilbert Geometry},
  author={Ludovic Marquis},
The most interesting examples of Hilbert geometries in the context of geometric group theory are called, following Vey in [84], divisible convex sets. These are those properly convex open subsets Ω of the real projective space P = P(R) such that there exists a discrete subgroup Γ of the group PGLd+1(R) of projective transformation which preserves Ω and such that the quotient Ω/Γ is compact. In 2006, Benoist wrote a survey [12] of divisible convex sets and in 2010, Quint wrote a survey [71] of… CONTINUE READING

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