Locally nilpotent 4-Engel groups are Fitting groups

Gunnar Traustason

Research output: Contribution to journalArticlepeer-review

6 Citations (SciVal)

Abstract

Let G be a locally nilpotent 4-Engel group. We show that the normal closure of any element from G is nilpotent of class at most 4. When G has no element of order 2 or 5, the normal closure has class at most 3. These bounds are sharp. (C) 2003 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)41482
JournalJournal of Algebra
Volume270
Issue number1
DOIs
Publication statusPublished - 2003

Subject classification (UKÄ)

  • Mathematics

Keywords

  • Engel groups
  • locally nilpotent groups
  • Fitting groups

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