Abstract.
For any fixed \(k \geq 7\) there exist integers n k and a k such that if the ring R is generated by a set of m elements t 1,...,t m , where \(2t_1-t_1^2\) is a unit of finite multiplicative order, and \(n \geq n_k+ma_k\), then the group E n (R) generated by elementary transvections is an epimorphic image of the triangle group \(\Delta (2,3,k).\)
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Received: 28.9.1998
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Lucchini, A. (2, 3, k)-generated groups of large rank. Arch. Math. 73, 241–248 (1999). https://doi.org/10.1007/s000130050393
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DOI: https://doi.org/10.1007/s000130050393