• 3
  • 3
  • 82
  • 82
IPM
30
YEARS OLD

“School of Mathematics”

Paper   IPM / M / 8722
   School of Mathematics
  Title: Engel graph associated with a group
  Author(s): A. Abdollahi
  Status: Published
  Journal: J. Algebra
  Vol.: 318
  Year: 2007
  Pages: 680-691
  Supported by: IPM
  Abstract:
Let G be a non-Engel group and let L(G) be the set of all left Engel elements of G. Associate with G a graph EG as follows: Take G\L(G) as vertices of EG and join two distinct vertices x and y whenever [x,ky] ≠ 1 and [y, kx] ≠ 1 for all positive integers k. We call EG, the Engel graph of G. In this paper we study the graph theoretical properties of EG.

Download TeX format
back to top
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
scroll left or right