{ "id": "1801.08050", "version": "v1", "published": "2018-01-23T18:44:21.000Z", "updated": "2018-01-23T18:44:21.000Z", "title": "Linear groups with almost right Engel elements", "authors": [ "Pavel Shumyatsky" ], "comment": "arXiv admin note: text overlap with arXiv:1610.03126", "categories": [ "math.GR" ], "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.", "revisions": [ { "version": "v1", "updated": "2018-01-23T18:44:21.000Z" } ], "analyses": { "keywords": [ "right engel elements", "linear group", "finite set", "sufficiently long commutators" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }