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Powerful 2-Engel Groups


Reference:

Moravec, P. and Traustason, G., 2008. Powerful 2-Engel Groups. Communications in Algebra, 36 (11), pp. 4096-4119.

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    Official URL:

    http://dx.doi.org/10.1080/00927870802174835

    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.

    Details

    Item Type Articles
    CreatorsMoravec, P.and Traustason, G.
    DOI10.1080/00927870802174835
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher Statementpaper22.pdf: 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
    RefereedYes
    StatusPublished
    ID Code26739

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