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.

引用

页码：131 / 145

页数：15

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