The (2,3)-generation of the special linear groups over finite fields

preprint2016arXivOpen access

Abstract

We complete the classification of the finite special linear groups $\SL_n(q)$ which are (2,3)(2,3)-generated, i.e., which are generated by an involution and an element of order 33. This also gives the classification of the finite simple groups $\PSL_n(q)$ which are (2,3)(2,3)-generated.

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