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.
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页数：18
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