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On Orderable Poly Engel Groups |
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| Authors: | Yangkok Kim |
| Institution: | Department of Mathematics , Dongeui University , Busan, Korea |
| Abstract: | It is known that an orderable n-Engel group is nilpotent. We show that an orderable group that is an extension of an n-Engel group by an n-Engel group is nilpotent-by-nilpotent. However, a finitely generated orderable poly n-Engel group need not be solvable in general. |
| Keywords: | Locally graded groups n-Engel Nilpotent Orderable groups Poly- groups |