“School of Mathematics”

Back to Papers Home
Back to Papers of School of Mathematics

Paper   IPM / M / 8002
School of Mathematics
  Title:   About noncommuting graphs
  Author(s):  A. R . Moghaddamfar
  Status:   Published
  Journal: Siberian Math. J.
  Vol.:  47
  Year:  2006
  Pages:   911-914
  Supported by:  IPM
  Abstract:
The noncommuting graph ∇(G) of a nonabelian finite group G is defined as follows: The vertices of ∇(G) are represented by the non-central elements of G, and two distinct vertices x and y are joined by an edge if xyyx. In [2], it was conjectured that: Let G and H be two nonabelian finite groups such that ∇(G) ≅ ∇(H), then |G|=|H|. In this article we give, some counterexamples to this conjecture.

Download TeX format
back to top
scroll left or right