Abstract
We present an algorithm to compute H 2(G,U) for a finite group G and finite abelian group U (trivial G-module). The algorithm returns a generating set for the second cohomology group in terms of representative 2-cocycles, which are given explicitly. This information may be used to find presentations for corresponding central extensions of U by G. An application of the algorithm to the construction of relative (4t, 2,4t, 2t) -difference sets is given.
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