N. Nikolov

activity

20002022

most citedFinite Simple Groups as Expanders

67 citations · 528 across the 47 of their papers we have counts for

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Showing 2004 · math.GRShow all

2 papers · 2 filters

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★ 13 cited

Counting primes, groups and manifolds

D. Goldfeld, A. Lubotzky, N. Nikolov +1

Let $Λ = SL_{2} (Z)$ be the modular group and let $c_{n} (Λ)$ be the number of congruence subgroups of $Λ$ of index at most $n$ . We prove that $\lim\limits_{n\to \infty} \fr…