%0 Journal Article
%T On n-Nilpotent Groups and n-Nilpotency of n-Abelian Groups
%J Mathematics Interdisciplinary Research
%I University of Kashan
%Z 2538-3639
%A Pourmirzaei, Azam
%A Shakourie, Yaser
%D 2020
%\ 12/01/2020
%V 5
%N 4
%P 355-366
%! On n-Nilpotent Groups and n-Nilpotency of n-Abelian Groups
%K nilpotent group
%K n-abelian group
%K n-center subgroup
%K n-potent subgroup
%R 10.22052/mir.2020.240324.1245
%X The concept of n-nilpotent groups was introduced by Moghaddam and Mashayekhy in 1991 which is in a way a generalized version of the notion of nilpotent groups. Using the n-center subgroup, a new series was constructed, which is a generalization of the upper central series of a group. In this article some properties of such groups will be studied. Finally more results for an n-nilpotent group G are given based on the assumption that G is n-abelian.
%U https://mir.kashanu.ac.ir/article_111284_8d26176dc2c9950de88884bb0c1ef355.pdf