{ "id": "1906.11689", "version": "v1", "published": "2019-06-26T06:22:19.000Z", "updated": "2019-06-26T06:22:19.000Z", "title": "On verbally closed subgroups of free solvable groups", "authors": [ "V. A. Roman'kov", "E. I. Timoshenko" ], "categories": [ "math.GR" ], "abstract": "We study verbally closed subgroups of free solvable groups. A number of results is proved that give sufficient conditions under whose a verbally closed subgroup is turned to be a retract and so algebraically closed of the full group.", "revisions": [ { "version": "v1", "updated": "2019-06-26T06:22:19.000Z" } ], "analyses": { "subjects": [ "20F70", "20F16", "20E10" ], "keywords": [ "free solvable groups", "sufficient conditions", "study verbally closed subgroups", "full group" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }