论文标题

覆盖$ m_ {22} $的组作为普通的galois组,$ \ mathbb {q} $

Covering groups of $M_{22}$ as regular Galois groups over $\mathbb{Q}$

论文作者

König, Joachim

论文摘要

我们通过表明Mathieu组$ M_ {22} $的全覆盖组及其自动形态组$ aut(M_ {22})$的全部覆盖群来缩小文献差距。

We close a gap in the literature by showing that the full covering groups of the Mathieu group $M_{22}$ and of its automorphism group $Aut(M_{22})$ occur as the Galois group of $\mathbb{Q}$-regular Galois extensions of $\mathbb{Q}(t)$.

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