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Jun 23, 2010 at 16:57 comment added Vipul Naik Jack, Thank you for the references and information. I think one thing about which I wasn't clear is that I am actually interested in 2-cocycles and not in cohomology classes, and the particular application I am interested in is not the same as finding group extensions (and I haven't found any conceptual connection with group extensions). Fortunately, this does not matter much, because the condition (ii) that I listed above, I think, is stronger than what you call a "normalized cocycle."
Jun 23, 2010 at 13:42 history answered Jack Schmidt CC BY-SA 2.5