Release Time:2019-03-12  Hits:

Indexed by: Journal Article

Date of Publication: 2017-10-01

Journal: JOURNAL OF PURE AND APPLIED ALGEBRA

Included Journals: Scopus、SCIE

Volume: 221

Issue: 10

Page Number: 2494-2503

ISSN: 0022-4049

Abstract: 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.