Every (k+1)-affine complete nilpotent group of class k is affine complete

Erhard Aichinger, Jürgen Fuß

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

We let G be a group, and we let k be a natural number. We assume that G is nilpotent of class at most k, and that every (k + 1)-ary congruence preserving function on G is a polynomial function. We show that then every congruence preserving function on G (of any finite arity) is a polynomial function.

Original languageEnglish
Article number2
Pages (from-to)259-274
Number of pages16
JournalInternational Journal of Algebra and Computation
Volume16
Issue number2
DOIs
Publication statusPublished - Apr 2006

Keywords

  • Affine completeness
  • Commutator collection
  • Congruence preserving functions
  • Nilpotent groups
  • Polynomial completeness

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