Extensions of group retractions

Richard D. Byrd, Justin T. Lloyd, Roberto A. Mena and J. Roger Teller

International Journal of Mathematics and Mathematical Sciences, 1980, vol. 3, 1-12

Abstract:

In this paper a condition, which is necessary and sufficient, is determined when a retraction of a subgroup H of a torsion-free group G can be extended to a retraction of G . It is also shown that each retraction of a torsion-free abelian group can be uniquely extended to a retraction of its divisible closure.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:501712

DOI: 10.1155/S016117128000052X

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