Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 48, No. 1, pp. 151173 (2007) 

The possibility of extending factorization results to infinite abelian groupsArthur D. Sands and Sándor SzabóDepartment of Mathematics, University of Dundee, Dundee DD1 4HN Scotland UK; Institute of Mathematics and Informatics, University of Pécs, Ifjúság u. 6, 7624 Pécs, HungaryAbstract: We shall consider three results on factoring finite abelian groups by subsets. These are the Hajós', Rédei's and simulation theorems. As L. Fuchs has done in the case of Hajós' theorem we shall obtain families of infinite abelian groups to which these results cannot be extended. We shall then describe classes of infinite abelian groups for which the extension does hold. Keywords: factorization of finite and infinite abelian groups, HajósRédei theory. Classification (MSC2000): 20K99; 52C22 Full text of the article:
Electronic version published on: 14 May 2007. This page was last modified: 27 Jan 2010.
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