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math.GR2004
Subgroup growth of lattices in semisimple Lie groups
A. Lubotzky, N. Nikolov
We give very precise bounds for the congruence subgroup growth of arithmetic groups. This allows us to determine the subgroup growth of irreducible lattices of semisimple Lie group…
math.GR2004
Counting primes, groups and manifolds
D. Goldfeld, A. Lubotzky, N. Nikolov +1
Let be the modular group and let be the number of congruence subgroups of of index at most . We prove that $\lim\limits_{n\to \infty} \fr…