论文标题

非亚伯式简单组,作为在可解决的扩展上以Hopf-Galois结构的类型出现的类型

Non-abelian simple groups which occur as the type of a Hopf-Galois structure on a solvable extension

论文作者

Tsang, Cindy

论文摘要

我们确定有限的非亚伯式简单基团,该基团是可解决扩展上的Hopf-Galois结构的类型。在偏斜括号的语言中,我们的结果提供了有限的非亚伯式简单组的完整列表,这些群体是带有可解决的乘法组的偏斜支架的添加剂组。

We determine the finite non-abelian simple groups which occur as the type of a Hopf-Galois structure on a solvable extension. In the language of skew braces, our result gives a complete list of finite non-abelian simple groups which occur as the additive group of a skew brace with solvable multiplicative group.

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