{ "id": "1912.12415", "version": "v1", "published": "2019-12-28T06:57:30.000Z", "updated": "2019-12-28T06:57:30.000Z", "title": "On tensor analogues of commuting automorphisms and central automorphisms", "authors": [ "Fahimeh Mohammadzadeh", "Hanieh Golmakani", "Azam Hokmabadi", "Elaheh Mohammadzadeh" ], "categories": [ "math.GR" ], "abstract": "In this paper, we introduce the tensor analogues of commuting automorphisms and central automorphisms. Then we give several properties of such automorphisms and apply these new concepts to give some interesting results for $2_\\otimes$-Engel elements.", "revisions": [ { "version": "v1", "updated": "2019-12-28T06:57:30.000Z" } ], "analyses": { "subjects": [ "20D45", "20F45", "20F99" ], "keywords": [ "central automorphisms", "tensor analogues", "commuting automorphisms", "engel elements" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }