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Classical groups, probabilistic methods, and the (2,3)-generation problem
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DOI：10.2307/2118584.png)
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摘要
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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 PSL(2)(Z), up to finitely many exceptions.
Keyword:
FINITE CHEVALLEY-GROUPS
MAXIMAL-SUBGROUPS
GENERATION
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