L. Pyber

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20042007

most citedProduct decompositions of quasirandom groups and a Jordan type theorem

1 citations · 1 across the 3 of their papers we have counts for

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math.GR2007★ 1 cited

Product decompositions of quasirandom groups and a Jordan type theorem

Nikolay Nikolov, László Pyber

We first note that a result of Gowers on product-free sets in groups has an unexpected consequence: If k is the minimal degree of a representation of the finite group G, then for e…

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

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…