Finitely generated simple sharply 2-transitive groups

被引：0

作者：

Andre, Simon ^{[1
]}

Guirardel, Vincent ^{[2
]}

机构：

[1] WWU Munster, Inst Math Log & Grundlagenforsch, Einsteinstr 62, D-48149 Munster, Germany

[2] Univ Rennes, CNRS, IRMAR UMR 6625, Rennes, France

来源：

COMPOSITIO MATHEMATICA | 2024年 / 160卷 / 08期

基金：

欧洲研究理事会;

关键词：

20B22; 20F65; 20F67;

D O I：

10.1112/S0010437X24007358

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：18