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(2,3)-Generation of Exceptional Groups
Journal of the London Mathematical Society, 1999A group \(G\) is called \((2,3)\)-generated if there are \(x,y\in G\) with \(O(x)=2\), \(O(y)=3\) such that \(G=\langle x,y\rangle\). In this case \(G\) is isomorphic to a homomorphic image of the modular group \(\text{PSL}_2(\mathbb{Z})\). In previous works [\textit{G. Malle}, Can. Math. Bull. 33, No. 3, 349-357 (1990; Zbl 0734.20013) and Lond.
Lübeck, Frank, Malle, Gunter
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