论文成果
The transvection free groups with polynomial rings of invariants
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- 论文类型：期刊论文
- 发表时间：2017-10-01
- 发表刊物：JOURNAL OF PURE AND APPLIED ALGEBRA
- 收录刊物：SCIE、Scopus
- 文献类型：J
- 卷号：221
- 期号：10
- 页面范围：2494-2503
- ISSN号：0022-4049
- 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.
