| 赵嗣元.Z/p2Z上幂零指数为3且平方同构于Np⊕Np的2秩代数[J].数学研究及应用,1991,11(4):555~561 |
| Z/p2Z上幂零指数为3且平方同构于Np⊕Np的2秩代数 |
| The Algebras of 2 rank over Z/p2Z with nilpotent index 3 and it's square isomorphic to Np⊕Np |
| 投稿时间：1989-12-19 |
| DOI：10.3770/j.issn:1000-341X.1991.04.017 |
| 中文关键词: |
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| 摘要点击次数: 2190 |
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| 中文摘要: |
| 本文把这种代数的同构分类问题归结为素域Fp=Z/pZ上2阶一般线性群GL(2,Fp)作用于M4,2(Fp)的2秩阵子集Mp上的轨道条数r(p)的求法问题,并以p=2,3为例具体给出r(2)=42,r(3)=149. |
| 英文摘要: |
| This paper reduces the classification problem of those algebras mentioned in subject to find the number of orbits of 2 rank matrices of M4,2(Fp) which is operated by GL(2,Fp) under a special operation, and taking p = 2. 3 for example, gives r(2) = 42, r(3)=149 concretely. |
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