论文标题

有限生成的简单的2个传递组

Finitely generated simple sharply 2-transitive groups

论文作者

André, Simon, Guirardel, Vincent

论文摘要

我们构建了有限生成的无限2个传输组的第一个示例。此外,我们构建了一个具有Kazhdan属性(T)的组,很简单,完全具有四个共轭类,并且我们表明该数字尽可能小。

We construct the first examples of infinite sharply 2-transitive groups which are finitely generated. Moreover, we construct such a group that has Kazhdan property (T), is simple, has exactly four conjugacy classes, and we show that this number is as small as possible.

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