Abstract
The Whitehead square [ l 2 i − 1 , l 2 i − 1 ] ∈ π 2 i + 1 − 3 ( S 2 i − 1 ) \left [ {{l_{{2^i} - 1}},{l_{{2^i} - 1}}} \right ] \in {\pi _{{2^{i + 1}} - 3}}({S^{{2^i} - 1}}) is shown to be projective for i ≤ 10 i \leq 10 .
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