I'm trying to wrap my head around group cosmology, and I wanted to inquire what would be the most straight forward way to compute $H^{2}(\mathbb{Z}_{n},\mathbb{Z}_{k})$? Would it be to use the fact that, $$H^{2}(\mathbb{Z}_{n},\mathbb{Z}_{k}) \simeq \textrm{Ext}_{\mathbb{Z}\mathbb{Z}_{n} }(\mathbb{Z},\mathbb{Z}_{k})?$$ And then compute the ext, or is there a more straight forward way?
2026-03-31 05:15:47.1774934147
What is the most straight forward way to compute $H^{2}(\mathbb{Z}_{n},\mathbb{Z}_{k})$?
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