On the structure of right 3-Engel subgroups

Peter G Crosby

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We state and prove two sharp results on the structure of normal subgroups consisting of right 3-Engel elements. First we prove that if H is a 3-torsion-free such subgroup of a group G and x ∈ G, then [H, 4〈 x 〉 G] = {1}. When H is additionally {2, 5}-torsion-free, we prove that [H, 8G] = {1}.
Original languageEnglish
Pages (from-to)205-220
Number of pages16
JournalJournal of Algebra
Issue number1
Publication statusPublished - Apr 2012


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