 Conjugation module of a group ring (source code)

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= Conjugation module of a group ring

The <group ring> $\mathbb ZG$ becomes a $\mathbb ZG$-module under the <conjugation action> $g\cdot x=gxg^{-1}$. Its basis splits into <conjugacy classes>, and the span of the class of $x$ is the permutation module on $G/C_G(x)$.

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