The present paper gives a proof of the author's paper in the
Proceeding of the International Conference on Homotopy Theory and
Related Topics at Korea University (2005), 109–113, on the
orders of Whitehead products of ιn with
α∈πnn+k, (n≥ k+2, k≤ 24) and
improves and extends it. The method is to use composition methods in
the homotopy groups of spheres and rotation groups.
Keywords
EHP sequence, real projective space, Toda
bracket, Whitehead product
