Title : n - Isoclinism Classes and n-Nipotency Degree of Finite Groups ( n-Isoclinism Classes and n-Nilpotency Degree of Finite Groups )
Authors: Mohammad Reza Rajabzadeh Moghaddam , Ali Reza Salemkar , Kazem Chiti ,
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Abstract
Gallagher (1970) and Gustafson (1973) introduced the commutativity degree of a finite group. In this paper, we define the n-nilpotency degree of finite groups for n ≥ 1, and prove some results as Lescot (1995) does for a certain class of groups. In particular, it is shown that the n-isoclinism of finite groups preserves their n-nilpotency degrees. Finally, some sharper and more general upper bound than previously known is constructed for the commutativity degree of non-abelian finite groups.
Keywords
, probability degree; nilpotency degree; isoclinism AMSC numbers: 20D15, 20F99
@article{paperid:202982,
author = {Rajabzadeh Moghaddam, Mohammad Reza and Ali Reza Salemkar and Chiti, Kazem},
title = {n - Isoclinism Classes and n-Nipotency Degree of Finite Groups},
journal = {Algebra Colloquium},
year = {2005},
volume = {12},
number = {2},
month = {June},
issn = {1005-3867},
pages = {255--261},
numpages = {6},
keywords = {probability degree; nilpotency degree; isoclinism
AMSC numbers: 20D15; 20F99},
}
%0 Journal Article
%T n - Isoclinism Classes and n-Nipotency Degree of Finite Groups
%A Rajabzadeh Moghaddam, Mohammad Reza
%A Ali Reza Salemkar
%A Chiti, Kazem
%J Algebra Colloquium
%@ 1005-3867
%D 2005
