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arXiv · 1412.8631

(2,3)-generation of the special linear groups of dimensions 9, 10 and 11

E. Gencheva·Ts. Genchev·K. Tabakov
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Abstract

We prove that the groups PSL_n(q) are (2,3)-generated for n=9,10 or 11 and all q. Actually, we find out explicit generators x_n and y_n of respective orders 2 and 3, for the groups SL_n(q).

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E. Gencheva, Ts. Genchev, K. Tabakov. 2014-12-30. (2,3)-generation of the special linear groups of dimensions 9, 10 and 11. https://arxiv.org/abs/1412.8631

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