Soluble linear groups with some restrictions on subgroups of infinite central dimension

被引：2
|
作者：
Kurdachenko, L. A. [1 ]
Munoz-Escolano, J. M. [2 ]
Otal, J. [2 ]
机构：
[1] Natl Univ Dnepropetrovsk, Dept Algebra, UA-49010 Dnepropetrovsk, Ukraine
[2] Univ Zaragoza, Dept Math, E-50002 Zaragoza, Spain
来源：
ISCHIA: GROUP THEORY 2008 | 2009年
关键词：
Central dimension; Infinite central dimensional linear group; Soluble group; Weak minimal condition; WEAK CHAIN-CONDITIONS;
D O I：
10.1142/9789814277808_0012
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Let V be a vector space over the field F. If G is a subgroup of GL(V, F), then we define the central dimension of G (denoted by centdim (F)G) as the F-dimension of the factor-space V/C-V (G). We say that G has finite central dimension if centdim (F)G is finite and G has infinite central dimension otherwise. In this paper we study soluble linear groups such that the set of infinite central dimensional subgroups satisfies the weak minimal condition continuing the study started in [12,13,18].
引用
收藏
页码：156 / +
页数：3
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