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摘 要: In this paper, rst we investigate the invariant rings of the nite groupsG  GL(n; Fq) generated by i-transvections and i-reections with given invariantsubspaces H over a nite eld Fq in the modular case. Then we are concerned withgeneral groups Gi(!) and Gi(!)t named generalized transvection groups where !is a k-th root of unity. By constructing quotient group and tensor, we calculatetheir invariant rings. In the end, we determine the properties of Cohen-Macaulay,Gorenstein, complete intersection, polynomial and Poincare series of these rings.
作 者 : Han Xiang
英文名 :
刊 名: 《数学研究通讯》
年,卷(期) : 2017 年 , 第 2 期
在线出版日期 :
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