### Universal Abelian Groups

by Kojman and Shelah. [KjSh:455]

Israel J Math, 1995

We examine the existence of universal elements in classes of
infinite abelian groups. The main method is using group invariants
which are defined relative to club guessing sequences. We prove, for
example:
Theorem: For n >= 2, there is a purely universal separable
p-group in aleph_n if, and only if, {2^{aleph_0}} <=
aleph_n .

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