TY - JOUR
ID - 111284
TI - On n-Nilpotent Groups and n-Nilpotency of n-Abelian Groups
JO - Mathematics Interdisciplinary Research
JA - MIR
LA - en
SN - 2538-3639
AU - Pourmirzaei, Azam
AU - Shakourie, Yaser
AD - Department of Mathematics, Hakim Sabzevari University, Sabzevar, I. R. Iran
AD - Department of Mathematics,
Hakim Sabzevari University,
Sabzevar, I. R. Iran
Y1 - 2020
PY - 2020
VL - 5
IS - 4
SP - 355
EP - 366
KW - nilpotent group
KW - n-abelian group
KW - n-center subgroup
KW - n-potent subgroup
DO - 10.22052/mir.2020.240324.1245
N2 - 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.
UR - https://mir.kashanu.ac.ir/article_111284.html
L1 - https://mir.kashanu.ac.ir/article_111284_8d26176dc2c9950de88884bb0c1ef355.pdf
ER -