Peer-Reviewed Journal Details
Mandatory Fields
Flannery, DL,O'Brien, EA
2000
Communications In Algebra
Computing 2-cocycles for central extensions and relative difference sets
Published
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Optional Fields
HADAMARD GROUPS MATRICES
28
1939
1955
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 a-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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