31 خرداد 1403
رشيد رضايي

رشید رضایی

مرتبه علمی: دانشیار
نشانی:
تحصیلات: دکترای تخصصی / ریاضی محض
تلفن:
دانشکده: دانشکده علوم ریاضی و آمار

مشخصات پژوهش

عنوان
On the Relative Commutativity Degree of a Subgroup of a Finite Group
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Commutativity degree of a finite group; Conjugacy class; Nilpotency class; Nilpotent group.
سال
2007
مجله COMMUNICATIONS IN ALGEBRA
پژوهشگران رشید رضایی

چکیده

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)), 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 in Gustafson (1973) and Moghaddam et al. (2005). Moreover, we shall define the relative nth nilpotency degree of a subgroup of a group and give some results concerning this at the end of the article.