A characterization of the groups PSU(4,4) and PSL(4,4) by non-commuting graph

作者：Monfared M Davoudi^*; Darafsheh M R

来源：Utilitas Mathematica, 2010, 81: 165-185.

• non-commuting graph
• graph isomorphism
• unitary group
• linear group

Let G be a finite non-abelian group. We define a graph Gamma(G), called the non-commuting graph of G, with vertex set G - Z(G) such that two vertices x and y are adjacent if and only if xy not equal yx. In this paper we prove that if G denotes one of the groups PSU(4, 4) or PSL(4, 4), then for any finite group H, the graph isomorphism Gamma(G) congruent to Gamma(H) implies H congruent to G.

• 出版日期2010-3