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On 4-Engel Groups

Published online by Cambridge University Press:  01 February 2010

Michael Vaughan-Lee
Michael Vaughan-Lee
Affiliation:
Christ Church, Oxford OX1 1DP, United Kingdom, vlee@maths.ox.ac.uk.http://users.ox.ac.uk/~vlee/

Abstract

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In this note, the author proves that a group G is a 4-Engel group if and only if the normal closure of every element g ∈ G is a 3-Engel group

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 10 , 2007 , pp. 341 - 353
Copyright
Copyright © London Mathematical Society 2007

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