论文标题
在有限符核基团的（2,3）中
On the (2,3)-generation of the finite symplectic groups
论文作者
论文摘要
本文是朝着有限简单组的完整分类的新重要一步，即$（2，3）$ - 生成。实际上，我们证明了sympletic组$ sp_ {2n}（q）$是$（2,3）$ - 为所有$ n \ geq 4 $生成。由于存在现有文献，因此此结果意味着$ psp_ {2n}（q）$是$（2,3）$ - 生成了所有$ n \ geq 2 $，除$ psp_4（2^f）$和$ psp_4（3^f）$外。
This paper is a new important step towards the complete classification of the finite simple groups which are $(2, 3)$-generated. In fact, we prove that the symplectic groups $Sp_{2n}(q)$ are $(2,3)$-generated for all $n\geq 4$. Because of the existing literature, this result implies that the groups $PSp_{2n}(q)$ are $(2,3)$-generated for all $n\geq 2$, with the exception of $PSp_4(2^f)$ and $PSp_4(3^f)$.
