Extensions of group retractions

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 divisibl...

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Bibliographic Details
Main Authors: Richard D. Byrd, Justin T. Lloyd, Roberto A. Mena, J. Roger Teller
Format: Article
Language:English
Published: Wiley 1980-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S016117128000052X
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