@article {
author = {Hashemi, M. and Polkouei, M.},
title = {Some numerical results on two classes of finite groups},
journal = {Journal of Algebra and Related Topics},
volume = {3},
number = {1},
pages = {63-72},
year = {2015},
publisher = {University of Guilan},
issn = {2345-3931},
eissn = {2382-9877},
doi = {},
abstract = {In this paper, we consider the finitely presented groups $G_{m}$ and $K(s,l)$ as follows;$$G_{m}=\langle a,b| a^m=b^m=1,~[a,b]^a=[a,b],~[a,b]^b=[a,b]\rangle $$$$K(s,l)=\langle a,b|ab^s=b^la,~ba^s=a^lb\rangle;$$and find the $n^{th}$-commutativity degree for each of them. Also we study the concept of $n$-abelianity on these groups, where $m,n,s$ and $l$ are positive integers, $m,n\geq 2$ and $g.c.d(s,l)=1$.},
keywords = {Nilpotent groups,$n^{th}$-commutativity degree,$n$-abelian groups},
url = {https://jart.guilan.ac.ir/article_1214.html},
eprint = {https://jart.guilan.ac.ir/article_1214_feb823612fb517d4d22669f4bdc86f76.pdf}
}