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