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| Paper IPM / M / 8722 |
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| Abstract: | |
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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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