English

A note on maximal lattice growth in SO(1,n)

Geometric Topology 2011-12-13 v1

Abstract

We show that the number of noncommensurable lattices, hence also that of maximal lattices in SO(1,n) is at least exponential. To do so we construct large families of noncommensurable hybrid hyperbolic (Gromov/Piatetski-Shapiro) manifolds.

Keywords

Cite

@article{arxiv.1112.2484,
  title  = {A note on maximal lattice growth in SO(1,n)},
  author = {Jean Raimbault},
  journal= {arXiv preprint arXiv:1112.2484},
  year   = {2011}
}

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6 pages