Paper Information

Title: 

ON THE COMMUTATIVITY DEGREE OF COMPACT GROUPS

Type: PAPER
Author(s): REZAEI R.*,ERFANIAN A.
 
 *DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES, MALAYER UNIVERSITY, MALAYER, IRAN
 
Name of Seminar: SEMINAR ON ALGEBRA (SALG20)
Type of Seminar:  CONFERENCE
Sponsor:  TARBIAT MOALLEM UNIVERSITY, FACULTY OF MATHEMATICAL SCIENCES AND COMPUTER
Date:  2009Volume 20
 
 
Abstract: 

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. The aim of this paper is to generalize definition of d(G) for every compact group G (infinite and even uncountable). We shall state some results concerning the compact group which are mostly new or improvements of known results given in [4].

 
Keyword(s): COMMUTATIVITY DEGREE, N-TH COMMUTATIVITY DEGREE, ISOCLINISM, COMPACT GROUP
 
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