Powerful 3-Engel groups

Iker de las Heras,Marialaura Noce,Gunnar Traustason

JOURNAL OF PURE AND APPLIED ALGEBRA（2024）

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Abstract

In this paper we study finite powerful 3 -Engel groups. In particular, we find sharp upper bounds for the nilpotency class of finite powerful 3 -Engel groups and in the subclass of finite powerful metabelian 3 -Engel groups. (c) 2024 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).

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Key words

Engel groups,Powerful groups,Metabelian groups,Nilpotency class

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