Linear groups with the minimal condition on subgroups of infinite central dimension

被引:30
|
作者
Dixon, MR [1 ]
Evans, MJ
Kurdachenko, LA
机构
[1] Univ Alabama, Dept Math, Tuscaloosa, AL 35487 USA
[2] Dnepropetrovsk State Univ, Dept Algebra, UA-49050 Dnepropetrovsk 50, Ukraine
关键词
linear group; minimal condition; locally soluble group; locally finite group;
D O I
10.1016/j.jalgebra.2004.02.029
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The authors study infinite dimensional linear groups with the minimal condition on subgroups of infinite central dimension. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:172 / 186
页数:15
相关论文
共 50 条
  • [1] Linear groups with the maximal condition on subgroups of infinite central dimension
    Kurdachenko, LA
    Subbotin, IY
    [J]. PUBLICACIONS MATEMATIQUES, 2006, 50 (01) : 103 - 131
  • [2] Linear groups with rank restrictions on the subgroups of infinite central dimension
    Dashkova, Olga Yu
    Dixon, Martyn R.
    Kurdachenko, Leonid A.
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2007, 208 (03) : 785 - 795
  • [3] Locally nilpotent linear groups with restrictions on their subgroups of infinite central dimension
    Kurdachenko, Leonid A.
    Munoz-Escolano, Jose M.
    Otal, Javier
    Semko, Nicolaj N.
    [J]. GEOMETRIAE DEDICATA, 2009, 138 (01) : 69 - 81
  • [4] Soluble linear groups with some restrictions on subgroups of infinite central dimension
    Kurdachenko, L. A.
    Munoz-Escolano, J. M.
    Otal, J.
    [J]. ISCHIA: GROUP THEORY 2008, 2009, : 156 - +
  • [5] Locally nilpotent linear groups with restrictions on their subgroups of infinite central dimension
    Leonid A. Kurdachenko
    Jose M. Muñoz-Escolano
    Javier Otal
    Nicolaj N. Semko
    [J]. Geometriae Dedicata, 2009, 138 : 69 - 81
  • [6] Periodic linear groups with the weak chain conditions on subgroups of infinite central dimension
    Munoz-Escolano, Jose M.
    Otal, Javier
    Semko, Nikolaj N.
    [J]. COMMUNICATIONS IN ALGEBRA, 2008, 36 (02) : 749 - 763
  • [7] Locally nilpotent linear groups with the weak chain conditions on subgroups of infinite central dimension
    Kurdachenko, Leonid A.
    Munoz-Escolano, Jose M.
    Otal, Javier
    [J]. PUBLICACIONS MATEMATIQUES, 2008, 52 (01) : 151 - 169
  • [8] Linear groups saturated by subgroups of finite central dimension
    Semko, N. N.
    Skaskiv, L. V.
    Yarovaya, O. A.
    [J]. ALGEBRA AND DISCRETE MATHEMATICS, 2020, 29 (01): : 117 - 128
  • [9] Linear groups with minimality condition for some infinite-dimensional subgroups
    Dixon M.R.
    Kurdachenko L.A.
    Evans M.J.
    [J]. Ukrainian Mathematical Journal, 2005, 57 (11) : 1726 - 1740
  • [10] AN EMBEDDING CONDITION FOR SUBGROUPS OF INFINITE GROUPS
    WILSON, JS
    [J]. LECTURE NOTES IN MATHEMATICS, 1987, 1281 : 176 - 179