The Algebras of 2 rank over Z/p2Z with nilpotent index 3 and it's square isomorphic to Np⊕Np
Received:December 19, 1989  
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Zhao SiYuan Shanghai Normal University 
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      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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