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
Some consequences of the equation [x^n,y]=1 on the structure of a compact group
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
n-th power central elements, commutativity degree, compact groups.
سال
2013
مجله JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
پژوهشگران رشید رضایی

چکیده

Given an integer n > 1 and a compact group G, we find some restrictions for the probability that two randomly picked elements x^n and y of G commute. In the case n = 1 this notion was investigated by W. H. Gustafson in 1973 and its influence on the structure of the group has been studied in the researches of several authors in last years.