Groups elementarily equivalent to a free nilpotent group of finite rank

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Abstract

In this paper, we give a complete algebraic description of groups elementarily equivalent to the P. Hall completion of a given free nilpotent group of finite rank over an arbitrary binomial domain. In particular, we characterize all groups elementarily equivalent to a free nilpotent group of finite rank.

Original languageEnglish
Pages (from-to)916-933
Number of pages18
JournalAnnals of Pure and Applied Logic
Volume162
Issue number11
DOIs
StatePublished - Nov 2011

Keywords

  • Abelian deformation
  • Elementary equivalence
  • Free nilpotent group
  • P. Hall completion

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