Powerful 2-Engel Groups

Primož Moravec; Gunnar Traustason

doi:10.1080/00927870802174835

Powerful 2-Engel Groups

Primož Moravec, Gunnar Traustason

Department of Mathematical Sciences

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Abstract

We study powerful 2-Engel groups. We show that every powerful 2-Engel group generated by three elements is nilpotent of class at most two. Surprisingly, the result does not hold when the number of generators is larger than three. In this article and its sequel, we classify powerful 2-Engel groups of class 3 that are minimal in the sense that every proper powerful section is nilpotent of class at most 2.

Original language	English
Pages (from-to)	4096-4119
Number of pages	24
Journal	Communications in Algebra
Volume	36
Issue number	11
DOIs	https://doi.org/10.1080/00927870802174835
Publication status	Published - Nov 2008

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This is a preprint of an article whose final and definitive form has been published in the Communications in Algebra. © 2008 Taylor & Francis; Communications in Algebra is available online at: http://dx.doi.org/10.1080/00927870802174835
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Cite this

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Powerful 2-Engel Groups

Abstract

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