Universal abelian groups

Details Universal abelian groups Universal abelian groups

1994-09-17

arxiv.org/abs/math/9409207v1

Mathematics

Logic

Scientific paper

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 $n\ge 2$, there is a purely universal separable $p$-group in
$\aleph_n$ if, and only if, $\cont\le \aleph_n$.

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