On the directed n-power graph of a class of finite groups Gm

We consider the finitely presented groups G as follows; G = (a,b|a^m =b^m = ۱, [a,b]^m =[a,b], [a,b] = [a,b]), m≥۲. For integer n >۱, the directed n-power graph of a group G is a graph whose vertices are elements of G with an edge from x to y if y=x^n. In this paper, we study the n-power graph of G

کلیدواژه ها:

Finite groups ، nilpotent groups ، power graph ، input degree