Geodesic
Relations between Finite Homology and Homotopy
Canadian mathematical bulletin, Tome 12 (1969) no. 2, pp. 139-150

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For a finite abelian group G let λ(G) be the least positive integer such that λ(G)G = 0. Let be the least integer such that λ(G) | (λ(G) divides ) and if 2 | λ(G) then 4 | . For a finitely generated abelian group G let GT be the subgroup of G made up of all elements of G of finite order, and let GF = G/GT. For a simply-connected C-W complex X, let be the smallest class of abelian groups containing the groups . 
Brown, B. Relations between Finite Homology and Homotopy. Canadian mathematical bulletin, Tome 12 (1969) no. 2, pp. 139-150. doi: 10.4153/CMB-1969-013-4
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     author = {Brown, B.},
     title = {Relations between {Finite} {Homology} and {Homotopy}},
     journal = {Canadian mathematical bulletin},
     pages = {139--150},
     year = {1969},
     volume = {12},
     number = {2},
     doi = {10.4153/CMB-1969-013-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-013-4/}
}
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