A subset {x 1,x 2,…,x d} of a group G invariably generates G if {x 1 g 1 ,x 2 g 2 ,…,x d g d...
We give an example of a locally nilpotent group G containing a left 3-Engel element x where 〈x〉 G is not nilpotent.
A subset {x 1,x 2,…,x d} of a group G invariably generates G if {x 1 g 1 ,x 2 g 2 ,…,x d g d...
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.
The current reservoir safety guidance within the UK recommends the use of the FSR/FEH rainfall-runoff model to estimate PMF (probable maximum flood) peak flows for reservoirs within the highest risk category (A). However, the...
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