A class of Butler groups and their endomorphism rings. (Q934315)

The authors construct by elementary means a new class of uncountable rank torsion-free Abelian groups, which they call Hawaiian groups. These groups are characterised by the fact that every finite rank pure subgroup is a Butler group, but the group itself is not a \(B_2\)-group. Hawaiian groups serve as examples or counterexamples for several conjectures on infinite rank Butler groups. The authors also study the endomorphism groups and rings of Hawaiian groups.