Group cohomology of symmetric group:S3
This article gives specific information, namely, group cohomology, about a particular group, namely: symmetric group:S3.
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Classifying space and corresponding chain complex
The homology and cohomology groups are the same as the respective homology and cohomology groups of the configuration space of three unordered points in a countable-dimensional real projective space. For more on the topological perspective, see configuration space of unordered points of a countable-dimensional real vector space on the Topology Wiki.