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Relations between Finite Homology and Homotopy

Published online by Cambridge University Press:  20 November 2018

B. Brown
B. Brown*
Affiliation:
Sir George Williams University, Montreal
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Extract

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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 .

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 12 , Issue 2 , April 1969 , pp. 139 - 150
Copyright
Copyright © Canadian Mathematical Society 1969

References

1. Hoo, C.S., Some remarks on a paper of D. W. Kahn. Canad. Math. Bull. 10 (1967) 233–237.Google Scholar