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arXiv · 1605.04276

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

Marco Antonio Pellegrini
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Abstract

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

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Marco Antonio Pellegrini. 2016-05-25. The (2,3)-generation of the special linear groups over finite fields. https://arxiv.org/abs/1605.04276

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