hamidreza dorbidi

In this paper we study the coprime graph of a group G. The coprime graph of a group G, denoted by \Gamma_G, is a graph whose vertices are elements of G and two distinct vertices x and y are adjacent if and only if (|x|,|y|) = 1. In this paper, we show that if G and H are two nilpotent groups of order n then \Gamma_G=Gamma_H Also we classify maximal independent sets in groups with at most three prime factors.