The Structures of Noncommuting Graphs and Groups
Cao Hong-ping · Journal of Southwest University · 2008
Let G be a non-abelian group of fixed order.This paper studies the relationship between its noncommuting graph (G)and its structure.We get some propositions,for example:Proposition 1 The graph isomorphism (G)≌(H)implies G≌H.Proposition 2 If G is a non-abelian group of 2p order,the graph isomorphism (G)≌(H)implies G≌H.