Subspace topologies in central extensions

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Abstract

The possibilities for the topology induced on the centre by the profinite topology of nilpotent groups of class two and finitely generated centre-by-metabelian groups are examined. As an application, it is shown that any finite abelian group can be embedded in the profinite completion of some countable torsion-free residually finite nilpotent group of class two and that of some finitely generated torsion-free residually finite centre-by-metabelian group. (C) 2001 Elsevier Science.

Original languageEnglish
Pages (from-to)491-513
Number of pages23
JournalJournal of Algebra
Volume246
Issue number2
DOIs
Publication statusPublished - 15 Dec 2001

Keywords

  • PROFINITE COMPLETIONS
  • TORSION

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