Some groups with $n$-central normal closures
Primož Moravec · Publicationes Mathematicae Debrecen · 2005
A group is said to be an n-Kappe group if it satisfies the law [x n , y, y] = 1.We describe the structural similarities between n-central groups and n-Kappe groups.In particular, we characterize 2-Kappe, 3-Kappe and metabelian p-Kappe groups.We show that in each of these three cases, these groups are closely related to groups with n-central normal closures.