(2, 3, k)-generated groups of large rank |
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Authors: | Andrea Lucchini |
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Institution: | Dipartimento di Elettronica per l'Automazione, Università degli Studi di Brescia, Via Branze 38, 25123 Brescia, Italy, IT
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Abstract: | For any fixed k 3 7k \geq 7 there exist integers nk and ak such that if the ring R is generated by a set of m elements t1,...,tm, where 2t1-t122t_1-t_1^2 is a unit of finite multiplicative order, and n 3 nk+makn \geq n_k+ma_k, then the group En(R) generated by elementary transvections is an epimorphic image of the triangle group D(2,3,k).\Delta (2,3,k). |
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