{ "id": "1710.00172", "version": "v1", "published": "2017-09-30T09:43:13.000Z", "updated": "2017-09-30T09:43:13.000Z", "title": "Group-labeled light dual multinets in the projective plane (with Appendix)", "authors": [ "Gábor Korchmáros", "Gábor P. Nagy" ], "categories": [ "math.CO" ], "abstract": "In this paper we investigate light dual multinets labeled by a finite group in the projective plane $PG(2,\\mathbb{K})$ defined over a field $\\mathbb{K}$. We present two classes of new examples. Moreover, under some conditions on the characteristic $\\mathbb{K}$, we classify group-labeled light dual multinets with lines of length least $9$.", "revisions": [ { "version": "v1", "updated": "2017-09-30T09:43:13.000Z" } ], "analyses": { "subjects": [ "51E99", "52C30", "05B25" ], "keywords": [ "projective plane", "classify group-labeled light dual multinets", "finite group", "conditions", "characteristic" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }