{ "id": "1812.03204", "version": "v1", "published": "2018-12-07T20:20:03.000Z", "updated": "2018-12-07T20:20:03.000Z", "title": "Fixed subgroups in direct products of surface groups of Euclidean type", "authors": [ "Jianchun Wu", "Enric Ventura", "Qiang Zhang" ], "categories": [ "math.GR" ], "abstract": "We give an explicit characterization of which direct products $G$ of surface groups of Euclidean type satisfy that the fixed subgroup of any automorphism (or endomorphism) of $G$ is compressed, and of which is it always inert.", "revisions": [ { "version": "v1", "updated": "2018-12-07T20:20:03.000Z" } ], "analyses": { "subjects": [ "20F65", "20F34", "57M07" ], "keywords": [ "surface groups", "direct products", "fixed subgroup", "euclidean type satisfy" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }