Using the Kunneth Theorem and Universal Coefficients Theorem, one can compute $$H^3(\mathbb{Z}/2\times\mathbb{Z}/2;\mathbb{Z})\simeq\mathbb{Z}/2,$$ $$H^5(\mathbb{Z}/2\times\mathbb{Z}/2;\mathbb{Z})\simeq\mathbb{Z}/2\times\mathbb{Z}/2.$$ What are examples of explicit group cocycles that represent these cohomology classes?
2026-03-25 18:54:59.1774464899
explicit group cocycles of the Klein four-group
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