Linear groups with almost right Engel elements
Group Theory
2019-07-10 v1
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.
Cite
@article{arxiv.1801.08050,
title = {Linear groups with almost right Engel elements},
author = {Pavel Shumyatsky},
journal= {arXiv preprint arXiv:1801.08050},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1610.03126