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arXiv · 1801.08050

Linear groups with almost right Engel elements

Pavel Shumyatsky
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Abstract

Let G be a linear group such that for every g in G there is a finite set R(g) with the property that for every x in G all sufficiently long commutators [g,x,x,...,x] belong to R(g). It is proved that G is finite-by-hypercentral.

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Pavel Shumyatsky. 2018-01-23. Linear groups with almost right Engel elements. https://doi.org/10.1017/s001309151800072x

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