Pathological abelian groups: a friendly example

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Abstract

We show that the group of bounded sequences of ele-
ments of Z[ 2] is an example of an abelian group with several well
known, and not so well known, pathological properties. It appears
to be simpler than all previously known examples for some of these
properties, and at least simpler to describe for others.
Original languageEnglish
Number of pages6
JournalJournal of Algebra
Early online date16 Oct 2019
DOIs
Publication statusE-pub ahead of print - 16 Oct 2019

Keywords

  • Infinite abelian groups
  • Pathological phenomena

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