A. Lubotzky

most citedDivision Algebras and Non-Commensurable Isospectral Manifolds

12 citations · 16 across the 6 of their papers we have counts for

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math.GR2004

Counting congruence subroups

D. Goldfeld, A. Lubotzky, L. Pyber

Let $Γ$ denote the modular group $S L (2, Z)$ and $C_{n} (Γ)$ the number of congruence subgroups of $Γ$ of index at most $n$ . We prove that $\lim\limits_{n\to \infty} \frac{\log C_n…

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…