LINEAR GROUPS WITH FINITE DIMENSIONAL ORBITS

被引：0
|
作者：
Dixon, M. R. [1 ]
Kurdachenko, L. A. [2 ]
Otal, J. [3 ]
机构：
[1] Univ Alabama, Dept Math, Tuscaloosa, AL 35487 USA
[2] Natl Univ Dnepropetrovsk, Dept Algebra, Fac Math & Mech, UA-49010 Dnepropetrovsk 10, Ukraine
[3] Univ Zaragoza, IUMA, Dept Math, E-50009 Zaragoza, Spain
来源：
ISCHIA GROUP THEORY 2010 | 2012年
关键词：
linear group; bounded finite dimensional orbit; finite orbit of subspaces;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
If G is a subgroup of the group GL(F, A) of all automorphisms of a vector space A on a field F we say that G is a linear group with finite dimensional G orbits, if dimF(aFG) is finite for each element a E A. In this paper the structure of two types of linear groups with finite dimensional orbits, namely groups with boundedly finite dimensional orbits on A and groups with finite G orbits of subspaces is considered.
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页码：131 / 145
页数：15
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