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 Multiple Commutativity Degree of Compact Groups
نوع پژوهش مقاله ارائه شده
کلیدواژه‌ها
compact group; multiple commutativity degree; isoclinism
سال
2012
پژوهشگران رشید رضایی

چکیده

In any finite group G, the commutativity degree of G (denoted by d(G)) is the probability that two randomly chosen elements of G commute. More generally, for every n \geq 2 the multiple commutativity degree (denoted by d_n(G)) is the probability that a randomly chosen ordered (n+1)-tuple of the group elements is mutually commuting. In this paper we will generalize the definition of multiple commutativity degree to every compact group G (infinite and even uncountable).