On vector invariants over finite fields
On vector invariants over finite fields
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DOI：
10.1016/0001-8708(90)90003-6
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发表时间：
1990-05
影响因子：
1.7
通讯作者：
David R. Richman
中科院分区：
文献类型：
--
作者：
David R. Richman
LetFdenote a finite field and letS(m,n,F) denote a set of generators of the invariants ofSL(n,F) acting onmn-component vectors. This paper proves that ifm>n> 1, thenS(m,n,F) must contain a generator whose degree is greater than or equal to (m−n+ 2)(|F| − 1). Similar results are obtained for the vector invariants of other groups of matrices with entries inF.
