Tame minimal simple groups of finite Morley rank

被引：28
|
作者：
Cherlin, G
Jaligot, E [1 ]
机构：
[1] Univ Paris 07, Equipe Log Math, F-75251 Paris, France
[2] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA
来源：
JOURNAL OF ALGEBRA | 2004年 / 276卷 / 01期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1016/j.jalgebra.2003.12.027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider tame minimal simple groups of finite Morley rank and of odd type. We show that the Prufer 2-rank of such a group is bounded by 2. We also find all potential nonalgebraic configurations; there are essentially four of them, and we delineate them with some precision. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：13 / 79
页数：67
相关论文
共 50 条
  • [1] On Weyl groups in minimal simple groups of finite Morley rank
    Tuna Altinel
    Jeffrey Burdges
    Olivier Frécon
    Israel Journal of Mathematics, 2013, 197 : 377 - 407
  • [2] ON WEYL GROUPS IN MINIMAL SIMPLE GROUPS OF FINITE MORLEY RANK
    Altinel, Tuna
    Burdges, Jeffrey
    Frecon, Olivier
    ISRAEL JOURNAL OF MATHEMATICS, 2013, 197 (01) : 377 - 407
  • [3] Carter subgroups in tame groups of finite Morley rank
    Frécon, O
    JOURNAL OF GROUP THEORY, 2006, 9 (03) : 361 - 367
  • [4] Minimal connected simple groups of finite Morley rank with strongly embedded subgroups
    Burdges, Jeffrey
    Cherlin, Gregory
    Jaligot, Eric
    JOURNAL OF ALGEBRA, 2007, 314 (02) : 581 - 612
  • [5] AUTOMORPHISM GROUPS OF SMALL SIMPLE GROUPS OF FINITE MORLEY RANK
    Frecon, Olivier
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (07) : 2591 - 2599
  • [6] Simple groups of finite Morley rank and Tits buildings
    Kramer, L
    Tent, K
    Van Maldeghem, H
    ISRAEL JOURNAL OF MATHEMATICS, 1999, 109 (1) : 189 - 224
  • [7] Simple groups of finite morley rank and Tits buildings
    Linus Kramer
    Katrin Tent
    Hendrik Van Maldeghem
    Israel Journal of Mathematics, 1999, 109 : 189 - 224
  • [8] Pseudofinite groups as fixed points in simple groups of finite Morley rank
    Ugurlu, Pinar
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2013, 217 (05) : 892 - 900
  • [9] STRUCTURE OF BOREL SUBGROUPS IN SIMPLE GROUPS OF FINITE MORLEY RANK
    Altinel, Tuna
    Burdges, Jeffrey
    Frecon, Olivier
    ISRAEL JOURNAL OF MATHEMATICS, 2015, 208 (01) : 101 - 162
  • [10] Structure of Borel subgroups in simple groups of finite Morley rank
    Tuna Altinel
    Jeffrey Burdges
    Olivier Frécon
    Israel Journal of Mathematics, 2015, 208 : 101 - 162
12345