The Kahn-Priddy Theorem and Equivariant Vector Fields on Spheres.
Commentarii mathematici Helvetici, Tome 52 (1977), pp. 1-10.

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@article{CMH_1977__52_139678,
     author = {L.M. Woodward},
     title = {The {Kahn-Priddy} {Theorem} and {Equivariant} {Vector} {Fields} on {Spheres.}},
     journal = {Commentarii mathematici Helvetici},
     pages = {1--10},
     publisher = {mathdoc},
     volume = {52},
     year = {1977},
     zbl = {0351.57012},
     url = {http://geodesic.mathdoc.fr/item/CMH_1977__52_139678/}
}
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L.M. Woodward. The Kahn-Priddy Theorem and Equivariant Vector Fields on Spheres.. Commentarii mathematici Helvetici, Tome 52 (1977), pp. 1-10. http://geodesic.mathdoc.fr/item/CMH_1977__52_139678/