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MR688969 (85e:55033) 55R12 (55R45)
Davis, Donald M. The splitting of $B{\rm O}\langle 8\rangle \wedge b{\rm o}$ and $M{\rm O}\langle 8\rangle \wedge b{\rm o}$. Trans. Amer. Math. Soc. 276 (1983), no. 2, 671–683.
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