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Apr 5, 2021 at 16:36 comment added Dmitri Pavlov To make clear what is already implicitly stated in the previous two comments: the original 1943 paper by Eilenberg and MacLane (Relations between Homology and Homotopy Groups, Proceedings of the National Academy of Sciences 29:5 (1943), 155–158) defined group cohomology as the cohomology of the classifying space.
Apr 5, 2021 at 0:46 vote accept Math-mingong
Apr 2, 2021 at 2:15 answer added Math-mingong timeline score: 1
Apr 2, 2021 at 1:38 comment added Andy Putman Depending on which chain complex you use to compute the homology of G and which model of BG you’re talking about, these might literally be the same. They are for my favourite choices here...
Apr 2, 2021 at 1:16 comment added Chris Gerig This is commented on in Ken Brown's bible on group cohomology, and attributed to Eilenberg-MacLane's 1945 paper "Relations between homology and homotopy groups of spaces".
Apr 2, 2021 at 1:03 review First posts
Apr 2, 2021 at 6:36
Apr 2, 2021 at 0:53 history asked Math-mingong CC BY-SA 4.0