%0 Journal Article
%T A generalization of the probability that the commutator of two group elements is equal to a given element
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Alghamdi, Ahmad M. A.
%A Russo, Francesco G.
%D 2012
%\ 12/15/2012
%V 38
%N 4
%P 973-986
%! A generalization of the probability that the commutator of two group elements is equal to a given element
%K Commutativity degree
%K relative n-th nilpotency degree
%K probability of
commuting pairs
%K characters
%R
%X The probability that the commutator of two group elements is equal to a given element has been introduced in literature few years ago. Several authors have investigated this notion with methods of the representation theory and with combinatorial techniques. Here we illustrate that a wider context may be considered and show some structural restrictions on the group.
%U http://bims.iranjournals.ir/article_303_c20073079049ede5f1ba75c86fa2eb03.pdf