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closes #122
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‎quillen.tex‎

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@@ -958,7 +958,7 @@ \section{Explicitly stabilizing cyclic \texorpdfstring{\(MU\)}{MU}--power operat
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\begin{align*}
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P^{C_n}(\iota_{2m}^* \bar u_m) = \iota_{2m}^* P^{C_n}(\bar u_m) & = \iota_{2m}^* \left( \sum_{|\alpha| \le m} w^{m - |\alpha|} a_\alpha(t) s_\alpha(\bar u_m) \right) = w^m \iota_{2m},
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\end{align*}
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since \(s_\alpha(\iota_{2m}) = 0\) for any nonzero \(\alpha\), as the cohomology of \(S^{2m}\) is too sparse. Because \(\sigma^{2m} f = \iota_{2m} \sm f\), we conclude the proof by multiplicativity of \(P^{C_n}\).
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since \(s_\alpha(\iota_{2m}) = 0\) for any nonzero \(\alpha\), as \(MU\) is connective and hence the cohomology of \(S^{2m}\) is too sparse. Because \(\sigma^{2m} f = \iota_{2m} \sm f\), we conclude the proof by multiplicativity of \(P^{C_n}\).
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\end{proof}
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\begin{theorem}[{cf.\ \cite[Proposition 3.17]{Quillen}, \cite[Corollary VII.7.14]{Rudyak}}]\label{QuillensKeyRelation}

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