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When must pure extensions of countable abelian groups necessarily split?

Author(s): H. Patrick Goeters; Patrick Keef
Journal: Proc. Amer. Math. Soc. 126 (1998), 1321-1329.
MSC (1991): Primary 20K20, 20K30, 16A65
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Abstract: Necessary and sufficient conditions are given for the group of pure extensions of a countable abelian group by a countable abelian group to equal zero.

References:

1.: L. Fuchs, Abelian Groups, vol. 1, Academic Press, New York. 1970. MR 41:333
2.: C. Schochet, The UCT, the Milnor sequence, and a canonical decomposition of the Kasparov groups, $K$ -Theory 10 (1996), 49-72. MR 97d:46088


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