从怪物到汤普森再到奥南
From the Monster to Thompson to O'Nan
摘要:
怪物月光的开始是最大的零星单群--怪物--和复杂的椭圆曲线之间的连接。在这里,我们解释如何仔细看看这种连接导致,通过汤普森组,最近观察到的关系之间的非可怕的零星单群的奥南和某些家庭的椭圆曲线定义的有理数。我们也从这个角度来描述阴影月光。
英文摘要:
The commencement of monstrous moonshine is a connection between the largest sporadic simple group---the monster---and complex elliptic curves. Here we explain how a closer look at this connection leads, via the Thompson group, to recently observed relationships between the non-monstrous sporadic simple group of O'Nan and certain families of elliptic curves defined over the rationals. We also describe umbral moonshine from this perspective.
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。