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On a class of locally Butler groups

Ladislav Bican (1991)

Commentationes Mathematicae Universitatis Carolinae

A torsionfree abelian group B is called a Butler group if B e x t ( B , T ) = 0 for any torsion group T . It has been shown in [DHR] that under C H any countable pure subgroup of a Butler group of cardinality not exceeding ω is again Butler. The purpose of this note is to show that this property has any Butler group which can be expressed as a smooth union α < μ B α of pure subgroups B α having countable typesets.

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