6维和7维经典单群的(2,3)-生成
The (2,3)-generation of the classical simple groups of dimension 6 and 7
摘要:
本文证明了有限单群$PSp_6(q)$,$Ω_7(q)$和$PSU_7(q^2)$对所有q都是(2,3)-生成的.特别地,这个结果完成了(2,3)-生成的有限经典单群的分类,直到7维。
英文摘要:
In this paper we prove that the finite simple groups $PSp_6(q)$, $Ω_7(q)$ and $PSU_7(q^2)$ are (2,3)-generated for all q. In particular, this result completes the classification of the (2,3)-generated finite classical simple groups up to dimension 7.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。