Geodesic
James-Hopf Invariants, Anick’s Spaces, and the Double Loops on Odd Primary Moore Spaces
Canadian mathematical bulletin, Tome 43 (2000) no. 2, pp. 226-235

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DOI

Using spaces introduced by Anick, we construct a decomposition 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 mod ${{p}^{r}}$ Moore space.
DOI : 10.4153/CMB-2000-030-9
Mots-clés : 55Q52, 55P35 
Neisendorfer, Joseph. James-Hopf Invariants, Anick’s Spaces, and the Double Loops on Odd Primary Moore Spaces. Canadian mathematical bulletin, Tome 43 (2000) no. 2, pp. 226-235. doi: 10.4153/CMB-2000-030-9
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     author = {Neisendorfer, Joseph},
     title = {James-Hopf {Invariants,} {Anick{\textquoteright}s} {Spaces,} and the {Double} {Loops} on {Odd} {Primary} {Moore} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {226--235},
     year = {2000},
     volume = {43},
     number = {2},
     doi = {10.4153/CMB-2000-030-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-030-9/}
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