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CiteWeb id: 20160000758

CiteWeb score: 110

We study the probability that randomly chosen elements of prescribed type in a finite simple classical group G generate G; in particular, we prove a conjecture of Kantor and Lubotzky in this area. The probabilistic approach is then used to determine the finite simple classical quotients of the modular group PSL2(Z), up to finitely many exceptions.

The publication "Classical groups, probabilistic methods, and the (2,3)-generation problem" is placed in the Top 1000 in 2016.
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