Fixed points of elements of linear groups

被引：4

作者：

Liebeck, Martin W. ^{[1
]}

Shalev, Aner ^{[2
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2BZ, England

[2] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2011年 / 43卷

基金：

英国工程与自然科学研究理事会; 以色列科学基金会;

关键词：

D O I：

10.1112/blms/bdr025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that for any finite group G, such that vertical bar G/R(G)vertical bar > 120 (where R(G) is the soluble radical of G), and any finite-dimensional vector space V on which G acts, there is a non-identity element of G with fixed-point space of dimension at least 1/6 dim V. This bound is best possible.

引用

页码：897 / 900

页数：4

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