Title of article
Locally nilpotent 4-Engel groups are Fitting groups
Author/Authors
Gunnar Traustason، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
21
From page
7
To page
27
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.
Keywords
Engel groups , Locally nilpotent groups , Fitting groups
Journal title
Journal of Algebra
Serial Year
2003
Journal title
Journal of Algebra
Record number
696433
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