In 2013 Elkies described a method for bounding the transitivity degree of Galois groups. Our goal is to give additional applications of this technique, in particular verifying that the monodromy group of the degree-276 cover defined over a degree-12 number field computed by Monien is isomorphic to the sporadic Conway group ${\text{Co}}_3$.

中文翻译：

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关于Elkies界定Galois群可及度的方法。

2013年，Elkies描述了一种限定Galois组传递度的方法。我们的目标是提供该技术的其他应用，尤其是验证在Monien计算的12度数域上定义的276度覆盖率的单峰组与偶发的Conway组是同构的${\text{有限公司}}_3$。