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MR1273520 (96b:55014) 55Q40 (55Q15 55Q25)
Richter, William The $H$-space squaring map on $\Omega\sp 3S\sp {4n+1}$ factors through the double suspension. Proc. Amer. Math. Soc. 123 (1995), no. 12, 3889–3900.
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