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

页码：1941 / 1957

页数：18

共 24 条

[1] Normal subgroups of GLn(D) are not finitely generated [J].

Akbari, S ;

Mahdavi-Hezavehi, M .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (06) :1627-1632

[2] SIMPLE SHARPLY 2-TRANSITIVE GROUPS [J].

Andre, Simon ;

Tent, Katrin .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 376 (06) :3965-3993

[3]

[Anonymous], 2016, Jahresber Dtsch Math-Ver.

[4] Construction of a quotient ring of Z2 F in which a binomial 1+w is invertible using small cancellation methods [J].

Atkarskaya, A. ;

Kanel-Belov, A. ;

Plotkin, E. ;

Rips, E. .

GROUPS, ALGEBRAS AND IDENTITIES, 2019, 726 :1-76

[5]

Bekka B, 2008, NEW MATH MONOGR, P1, DOI 10.1017/CBO9780511542749

[6]

Cameron P., 2000, Classical groups

[7] The space of finitely generated groups [J].

Champetier, C .

TOPOLOGY, 2000, 39 (04) :657-680

[8]

COHEN PM, 1971, P LOND MATH SOC, V23, P193

[9]

Coulon R., 2013, PREPRINT

[10] Combination of convergence groups [J].

Dahmani, F .

GEOMETRY & TOPOLOGY, 2003, 7 :933-963

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