论文标题

等级5的交替组的嵌入家庭纳入Cremona组

Families of embeddings of the alternating group of rank 5 into the Cremona group

论文作者

Krylov, Igor

论文摘要

我研究排名第五的交替组的嵌入到第三名的Cremona组中。我发现A_5-DEL PEZZO纤维引起的所有嵌入,我研究了它们的结合。 As an application, I show that there is a series of continuous families of pairwise non-conjugate embeddings of alternating group of rank five into Cr$_3(\mathbb{C})$.

I study embeddings of alternating group of rank five into the Cremona group of rank three. I find all embeddings induced by A_5-del Pezzo fibrations and I study their conjugacy. As an application, I show that there is a series of continuous families of pairwise non-conjugate embeddings of alternating group of rank five into Cr$_3(\mathbb{C})$.

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