Solvable infinite-dimensional linear groups with restrictions on the nonabelian subgroups of infinite rank

被引:0
作者
O. Yu. Dashkova
机构
[1] Taras Shevchenko University,
来源
Siberian Mathematical Journal | 2008年 / 49卷
关键词
linear group; solvable group; special rank of a group; sectional ; -rank of a group; central dimension of a linear group;
D O I
暂无
中图分类号
学科分类号
摘要
Under study are the solvable nonabelian linear groups of infinite central dimension and sectional p-rank, p ≥ 0, in which all proper nonabelian subgroups of infinite sectional p-rank have finite central dimension. We describe the structure of the groups of this class.
引用
收藏
页码:1023 / 1033
页数:10
相关论文
共 17 条
[1]  
Phillips R. E.(1988)The structure of groups of finitary transformations J. Algebra 119 400-448
[2]  
Dixon M. R.(2004)Linear groups with the minimal condition on subgroups of infinite central dimension J. Algebra 277 172-186
[3]  
Evans M. J.(2006)Linear groups with the maximal condition on subgroups of infinite central dimension Publ. Mat. 50 103-131
[4]  
Kurdachenko L. A.(2007)Linear groups with rank restrictions on the subgroups of infinite central dimension J. Pure Appl. Algebra 208 785-795
[5]  
Kurdachenko L. A.(2006)On some ranks of infinite groups Ric. Mat. 56 43-59
[6]  
Subbotin I. Ya.(1990)Solvable groups of finite nonabelian rank Ukrainian Math. J. 42 140-144
[7]  
Dashkova O. Yu.(1980)Products of abelian groups Algebra i Logika 19 94-106
[8]  
Dixon M. R.(1972)Radical groups of finite abelian subgroup rank Illinois J. Math. 16 533-580
[9]  
Kurdachenko L. A.(1948)On groups of finite rank Mat. Sb. 22 351-352
[10]  
Dixon M. R.(undefined)undefined undefined undefined undefined-undefined