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IPM
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“School of Mathematics”

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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.

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