2018/01/23 by Pavel Shumyatsky
Mathematics · #math.GR
paper · pdf · doi:10.1017/s001309151800072x
published as Proceedings of the Edinburgh Mathematical Society 62 (2019) 789-797 · arXiv admin note: text overlap with arXiv:1610.03126
arxiv created 2018/01/23 · arxiv updated 2019/07/10
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.