TY - JOUR
T1 - Powerful 2-Engel Groups
AU - Moravec, Primož
AU - Traustason, Gunnar
PY - 2008/11
Y1 - 2008/11
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=57249098237&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1080/00927870802174835
U2 - 10.1080/00927870802174835
DO - 10.1080/00927870802174835
M3 - Article
SN - 0092-7872
VL - 36
SP - 4096
EP - 4119
JO - Communications in Algebra
JF - Communications in Algebra
IS - 11
ER -