Let be an element of a finite group and let be the subgroup generated by all the right Engel values over. In the case when is soluble we prove that if, for some, the Fitting height of is equal to, then belongs to the th...
Let be an element of a finite group and let be the subgroup generated by all the right Engel values over. In the case when is soluble we prove that if, for some, the Fitting height of is equal to, then belongs to the th...
Let G be a group and let x G be a left 3-Engel element of order dividing 60. Suppose furthermore that (x)G has no elements of order 8, 9 and 25. We show that x is then contained in the locally nilpotent radical of G. In...
Let G be a group and let x G be a left 3-Engel element of order dividing 60. Suppose furthermore that (x)G has no elements of order 8, 9 and 25. We show that x is then contained in the locally nilpotent radical of G. In...
We give an example of a locally nilpotent group G containing a left 3-Engel element x where 〈x〉 G is not nilpotent.
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