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On the Homology of the General Linear Groups Over Z/4

Let p be a prime. The algebraic K-theory of Z/p2 is unknown. However it is easy to show that Ki(Z/p2) is finite if i > 0 and that it differs only in its K-torsion from Ki(Z/p) which was computed in [2]. To proceed further one surely needs the mod p (co-)homology of GLZ/p2. There is an exact sequence