Counting the Number of Centralizers of 2-Element Subsets in a Finite Group

A. R. Ashrafi, F. Koorepazan-Moftakhar, M. A. Salahshour

Suppose $G$ is a finite group. The set of all centralizers of $2-$element subsets of $G$ is denoted by $2-Cent(G)$. A group $G$ is called $(2,n)-$centralizer if $|2-Cent(G)|=n$ a…