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Mixed Abelian Groups

Published online by Cambridge University Press:  20 November 2018

John A. Oppelt
John A. Oppelt*
Affiliation:
University of Notre Dame, Notre Dame, Indiana and University of Virginia, Charlottesville, Virginia
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The difficulties encountered in the theory of mixed Abelian groups can become decidedly less complex, if it is possible to reduce the question to mixed groups whose torsion subgroup is 𝒫-primary. Call such a group a p-mixed group. In §1 we show that the splitting problem for a mixed group is reducible to the same problem for certain associated 𝒫-mixed groups. In §2 we look at groups which are a direct sum of 𝒫-mixed groups.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 19 , 1967 , pp. 1259 - 1262
Copyright
Copyright © Canadian Mathematical Society 1967

References

1. Fuchs, L., Abelian groups (London, 1960).Google Scholar
2. MacLane, S., Homology (New York, 1963).Google Scholar