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fix a denominator
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‎powerops.tex‎

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@@ -1086,7 +1086,7 @@ \subsection{Finite place orientations of \(KO\)}\label{FinitePlaceOrientationsSu
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The numbers \(t_{4k}\) describing the effect of \(C\) satisfy the congruences \[t_{4k} \equiv -\frac{B_k}{2k} \pmod{\Z}.\]
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\end{corollary}
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\begin{proof}[Proof sketch]
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The Todd orientation \(MU \to KU\) is known to be \(A_\infty\)~\cite[Theorem V.4.1]{EKMM}, and the characteristic series of the Todd orientation has coefficients \(B_k\). The extra division by \(2\) is picked up by studying the map \(\pi_* B\SU \to \pi_* B\Spin\) and the map \(\pi_* KO \to \pi_* KU\).
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The Todd orientation \(MU \to KU\) is known to be \(A_\infty\)~\cite[Theorem V.4.1]{EKMM}, and the characteristic series of the Todd orientation has coefficients \(B_k / k\). The extra division by \(2\) is picked up by studying the maps \(\pi_* B\SU \to \pi_* B\Spin\) and \(\pi_* KO \to \pi_* KU\).
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\end{proof}
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We have thus identified the legal fillers \(C\) as those sequences of rational numbers \(t_{4k}\) satisfying conditions:

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