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Rashid Rezaei

Rashid Rezaei

Academic rank: Assistant Professor
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Education: PhD.
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Faculty: Mathematical Sciences and Statistics
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Research

Title
پیشنویس پژوهش ثبت شده در 1401/10/27 11:41:52 ق.ظ
Type
Presentation
Keywords
Commutativity degree, relative commutativity degree,n-th nilpotency degree
Year
2007
Researchers Rashid Rezaei

Abstract

The aim of this article is to give a generalization of the concept of commutativity degree of a finite group G denoted by d(G) which is the probability that a randomly chosen pair (x, y) of elements of G commute, to the concept of relative commutativity degree of a subgroup H of a group G (denoted by d(H,G)). We shall state some results concerning the new concept which are mostly new or improvements of known results given by Lescot in 1995 and Moghaddam in 2005. Moreover, we shall define the relative n-th nilpotency degree of a subgroup of a group and give some results concerning this at the end