 Group cohomology of a conjugation module (source code)

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= Group cohomology of a conjugation module

For a <finite group> $G$ and representatives $g_i$ of its <conjugacy classes>, <Shapiro's lemma> gives
$$
H^n(G,\mathbb ZG_{\mathrm{conj}})
\cong\bigoplus_iH^n(C_G(g_i),\mathbb Z).
$$

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