L. Pyber

activity

20042023

most citedGrowth in finite simple groups of Lie type of bounded rank

71 citations · 151 across the 17 of their papers we have counts for

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Showing 2004Show all

2 papers · 1 filter

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★ 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…