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

Mathematics – Geometric Topology

Scientific paper

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6 pages

Scientific paper

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.

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