SIMPLE SHARPLY 2-TRANSITIVE GROUPS

被引:1
作者
Andre, Simon [1 ]
Tent, Katrin [1 ]
机构
[1] Westfalische Wilhelmms Univ, Inst Math Log & Grundlagenforschung, Einsteinstr 62, D-48149 Munster, Germany
关键词
D O I
10.1090/tran/8846
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We construct infinite simple sharply 2-transitive groups. Our result answers an open question of Peter Neumann. In fact, we prove that every sharply 2-transitive group G of characteristic 0 embeds into a simple sharply 2-transitive group.
引用
收藏
页码:3965 / 3993
页数:29
相关论文
共 25 条
  • [1] Altinel T., 2018, SHARPLY 2 TRANSITIVE
  • [2] Bogopolski O, 2008, EMS TEXTB MATH, P1
  • [3] Borovik Alexandre, 1994, OXFORD LOGIC GUIDES, V26
  • [4] Cameron Peter J., 1999, Permutation groups, V45, DOI DOI 10.1017/CBO9780511623677
  • [5] Clausen T., 2021, MOCK HYPERBOLIC REFL
  • [6] Clausen T., 2020, GEOMETRY SHARPLY 2 T
  • [7] NON-SPLIT LINEAR SHARPLY 2-TRANSITIVE GROUPS
    Glasner, Yair
    Gulko, Dennis D.
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 149 (06) : 2305 - 2317
  • [8] Sharply 2-Transitive Linear Groups
    Glasner, Yair
    Gulko, Dennis D.
    [J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2014, 2014 (10) : 2691 - 2701
  • [9] Glauberman G, 2015, P AM MATH SOC, V143, P1925
  • [10] Hall Jr Marshall, 1954, PAC J MATH, V4, P219, DOI 10.2140/pjm.1954.4.219