The transvection free groups with polynomial rings of invariants

被引：1

作者：

Chen, Yang ^{[1
]}

Nan, Jizhu ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2017年 / 221卷 / 10期

基金：

中国国家自然科学基金;

关键词：

FINITE LINEAR-GROUPS; REFLECTIONS;

D O I：

10.1016/j.jpaa.2016.12.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite linear group containing no transvections. This paper proves that the ring of invariants of G is polynomial if and only if the pointwise stabilizer in G of any subspace is generated by pseudoreflections. Kemper and Malle used the classification of finite irreducible groups generated by pseudoreflections to prove the irreducible case in arbitrary characteristic. We extend their result to the reducible case. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：2494 / 2503

页数：10

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