论文标题

Cremona Crema Group 3的有限3套组

Finite 3-subgroups in Cremona group of rank 3

论文作者

Kuznetsova, Alexandra

论文摘要

我们考虑在合理连接的三倍的同构体中,三个群体中的3个群体,并表明最多五个元素都可以生成任何3个群体。此外,我们研究了末端Fano三倍的常规自动形态的组,并证明在所有情况下,在所有明确描述的例外情况下,这些组的任何3个群体都可以在大多数四个元素上产生任何3个群体。

We consider 3-subgroups in groups of birational automorphisms of rationally connected threefolds and show that any 3-subgroup can be generated by at most five elements. Moreover, we study groups of regular automorphisms of terminal Fano threefolds and prove that in all cases which are not among several explicitly described exceptions any 3-subgroup of such group can be generated by at most four elements.

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