English

Universal abelian groups

Logic 2016-09-06 v1

Abstract

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 n2n\ge 2, there is a purely universal separable pp-group in n\aleph_n if, and only if, \contn\cont\le \aleph_n.

Keywords

Cite

@article{arxiv.math/9409207,
  title  = {Universal abelian groups},
  author = {Menachem Kojman and Saharon Shelah},
  journal= {arXiv preprint arXiv:math/9409207},
  year   = {2016}
}