When must pure extensions of countable abelian groups necessarily split?
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- by H. Patrick Goeters and Patrick Keef PDF
- Proc. Amer. Math. Soc. 126 (1998), 1321-1329 Request permission
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
- László Fuchs, Infinite abelian groups. Vol. I, Pure and Applied Mathematics, Vol. 36, Academic Press, New York-London, 1970. MR 0255673
- Claude L. Schochet, The UCT, the Milnor sequence, and a canonical decomposition of the Kasparov groups, $K$-Theory 10 (1996), no. 1, 49–72. MR 1373818, DOI 10.1007/BF00534888
Additional Information
- H. Patrick Goeters
- Affiliation: Department of Mathematics, Auburn University, Auburn, Alabama 36849
- Patrick Keef
- Affiliation: Department of Mathematics, Whitman College, Walla Walla, Washington 99362
- Received by editor(s): October 30, 1996
- Communicated by: Ronald M. Solomon
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 1321-1329
- MSC (1991): Primary 20K20, 20K30, 16A65
- DOI: https://doi.org/10.1090/S0002-9939-98-04231-2
- MathSciNet review: 1443827