Joseph Neisendorfer - James-Hopf invariants, Anick's spaces, and decompositions of the double loops on a Moore space

Using spaces introduced by Anick, we construct a decompostion into indecomposable factors of the double loop spaces of odd primary Moore spaces when the powers of the primes are greater than the first power. If n is greater than 1, this implies that the odd primary part of all the homotopy groups of the 2n+1 dimensional sphere lifts to a Moore space.