Geodesic
Some Remarks on a Paper of D. W. Kahn
Canadian mathematical bulletin, Tome 10 (1967) no. 2, pp. 233-237

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Suppose X is a simply-connected CW- complex whose homotopy groups are finite. For each n, let be the class of torsion groups whose p - primary components are zero for all primes p which do not figure in the homotopy groups πi(X) for i ≤ n. 
Hoo, C.S. Some Remarks on a Paper of D. W. Kahn. Canadian mathematical bulletin, Tome 10 (1967) no. 2, pp. 233-237. doi: 10.4153/CMB-1967-021-5
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[1] 1. Eilenberg, S. and MacLane, S., On the groups H(π, n), 11. Annals oMath. 60 (1955), pages 49-139. Google Scholar

[2] 2. Hu, S. T., Homotopy theory. Academic Press, New York (1955). 236 Google Scholar

[3] 3. Kahn, D. W., Maps which induce the zero map on homotopy. Pac J.Math. 15 (1966), pages 537-540. Google Scholar

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