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Powerful 3-Engel groups

Iker de las Heras,Marialaura Noce,Gunnar Traustason

NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY（2023）

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Abstract
In this paper we study powerful 3-Engel groups. In particular, we find sharp upper bounds for the nilpotency class of powerful 3-Engel groups and the subclass of powerful metabelian 3-Engel groups.
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