The group of homomorphisms of abelian torsion groups

M. W. Legg

International Journal of Mathematics and Mathematical Sciences, 1979, vol. 2, 1-12

Abstract:

Let G and A be abelian torsion groups. In[5], R. S. Pierce develops a complete set of invariants for Hom ( G, A ) . To compute these invariants he introduces, and uses extensively, the group of small homomorphisms of G into A . Also, using some of Pierce's methods, Fuchs characterizes this group in [1]. Our purpose in this paper is to characterize Hom ( G, A ) in what seems to be a more natural manner than either of the treatments just mentioned.

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:302545

DOI: 10.1155/S0161171279000077

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