The coprime graph of a group

The coprime graph \gg with a finite group G‎ ‎as follows‎: ‎Take G as the vertex set of \gg and join two distinct‎ ‎vertices u and v if (|u|,|v|)=۱‎. ‎In the paper‎, ‎we explore how the graph‎ ‎theoretical properties of \gg can effect on the group theoretical‎ ‎properties of G‎.

کلیدواژه ها:

coprime graph ، Finite group ، automorphism group