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 commutativity degree of a group algebra
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Commutativity degree · Group algebra · Conjugacy class · Isoclinism of groups
سال
2021
مجله Afrika Matematika
پژوهشگران رشید رضایی

چکیده

The aim of this paper is to give a generalization of the concept of commutativity degree of a finite group G (denoted by d(G)), to the concept of commutativity degree of a group algebra F[G], where G is a finite group and F is a finite field. We prove that two isoclinic groups for which the order of their centers are equal have the same commutativity degree. Finally, we give some lower and upper bounds for the commutativity degree of group algebra F[G] in terms of the order of G, the order of F and d(G).