Moravec, P. and Traustason, G., 2008. Powerful 2-Engel Groups. Communications in Algebra, 36 (11), pp. 4096-4119.
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.
|Item Type ||Articles|
|Creators||Moravec, P.and Traustason, G.|
|Departments||Faculty of Science > Mathematical Sciences|
|Publisher Statement||paper22.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|
Actions (login required)