Using the Mal'cev correspondence for collection in polycyclic groups

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We describe several approaches for realizing the Mal'cev correspondence between Q-powered nilpotent groups and nilpotent Lie algebras over Q. We apply it to fast collection in polycyclic groups. Our methods are fully implemented and publicly available. We report on the implementation and give runtimes for some example groups. (c) 2007 Elsevier Inc. All rights reserved.

Original languageEnglish
Pages (from-to)828-848
Number of pages21
JournalJournal of Algebra
Issue number2
Publication statusPublished - 15 Oct 2007


  • polycyclically presented groups
  • Mal'cev correspondence
  • collection
  • collection from the


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