Volume 22 • Number 1 • 1999   • Some conditions of Infinite Subsets of Infinite Groups Alireza Abdollahi and Bijan Taeri Abstract. Let G be an infinite group. In this note we prove the following: For all if and only if every two infinite subsets X and Y of G contain elements x and y, respectively such that Also if then for all if and only if every two infinite subsets X and Y of G contain elements x and y, respectively such that Full text: PDF