When must pure extensions of countable
abelian groups necessarily split?
Authors: H. Patrick Goeters and Patrick Keef
Journal: Proc. Amer. Math. Soc. 126 (1998), 1321-1329
MSC (1991): Primary 20K20, 20K30, 16A65
MathSciNet review: 1443827
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.
- L. Fuchs, Abelian Groups, vol. 1, Academic Press, New York. 1970. MR 41:333
- C. Schochet, The UCT, the Milnor sequence, and a canonical decomposition of the Kasparov groups, -Theory 10 (1996), 49-72. MR 97d:46088
H. Patrick Goeters
Affiliation: Department of Mathematics, Auburn University, Auburn, Alabama 36849
Affiliation: Department of Mathematics, Whitman College, Walla Walla, Washington 99362
Received by editor(s): October 30, 1996
Communicated by: Ronald M. Solomon
Article copyright: © Copyright 1998 American Mathematical Society