Some isomorphisms of abelian groups involving the Tor functor

Abstract

Abstract.Given a reduced group G, the class of groups A such that A =

Mahlo cardinals and the torsion product of primary abelian groups

“…Early work on the problem included [Hill 1983b;Keef 1988;1990;1991;1993;Nunke 1964;1967a;1967b]. More recently, the paper [Keef 2008] presented a new approach that unfortunately had two drawbacks: it was rather complicated, and it only worked for groups whose cardinality did not exceed the first regular limit cardinal.…”