{ "id": "2210.14172", "version": "v1", "published": "2022-10-25T17:06:47.000Z", "updated": "2022-10-25T17:06:47.000Z", "title": "Dehn functions for mapping tori of amalgam of free groups", "authors": [ "Qianwen Sun" ], "comment": "17 pages, 9 figures", "categories": [ "math.GR" ], "abstract": "For an amalgam of two free groups and a particular kind of automorphism, we show that the Dehn function of the corresponding mapping torus is quadratic.", "revisions": [ { "version": "v1", "updated": "2022-10-25T17:06:47.000Z" } ], "analyses": { "keywords": [ "free groups", "dehn function", "corresponding mapping torus" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable" } } }