Alghamdi, A., Russo, F. (2012). A generalization of the probability that the commutator of two group elements is equal to a given element. Bulletin of the Iranian Mathematical Society, 38(4), 973-986.

Ahmad M. A. Alghamdi; Francesco G. Russo. "A generalization of the probability that the commutator of two group elements is equal to a given element". Bulletin of the Iranian Mathematical Society, 38, 4, 2012, 973-986.

Alghamdi, A., Russo, F. (2012). 'A generalization of the probability that the commutator of two group elements is equal to a given element', Bulletin of the Iranian Mathematical Society, 38(4), pp. 973-986.

Alghamdi, A., Russo, F. A generalization of the probability that the commutator of two group elements is equal to a given element. Bulletin of the Iranian Mathematical Society, 2012; 38(4): 973-986.

A generalization of the probability that the commutator of two group elements is equal to a given element

^{1}Department of Mathematics, University Umm Alqura

^{2}Department of Mathematics, University of Palermo

Receive Date: 01 March 2011,
Revise Date: 14 June 2011,
Accept Date: 14 June 2011

Abstract

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.