Bounded Engel group

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A group G is termed a n-Engel group if, for any x, y \in G, there exists n such that:

[[\dots [x,y],y],\dots,y] = e

where the y occurs n times.

A group that is n-Engel for some positive integer n, is termed a bounded Engel group.

Relation with other properties

Weaker properties