Geodesic
A Relation Between S1 and S3-Invariant Homotopy In The Stable Range
Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 75-80

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For any X and any q > 0, one has natural inclusions where the groups S1 and S3 act on S4q-1 in the standard way and are the G-invariant homotopy subsets, G = S1 or G = S3 . It is proved here that for any space X of the homotopy type of a CW-complex and for π4q-1 (X) in the c3 cl stable range, the inclusion is m fact an equality when localized away from the prime 2.
DOI : 10.4153/CMB-1992-011-5
Mots-clés : 55Q40, 55Q45, 55Q52. 
Gilbert, Shirley M. F. A Relation Between S1 and S3-Invariant Homotopy In The Stable Range. Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 75-80. doi: 10.4153/CMB-1992-011-5
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     author = {Gilbert, Shirley M. F.},
     title = {A {Relation} {Between} {S1} and {S3-Invariant} {Homotopy} {In} {The} {Stable} {Range}},
     journal = {Canadian mathematical bulletin},
     pages = {75--80},
     year = {1992},
     volume = {35},
     number = {1},
     doi = {10.4153/CMB-1992-011-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-011-5/}
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