{ "id": "1905.12184", "version": "v1", "published": "2019-05-29T02:47:19.000Z", "updated": "2019-05-29T02:47:19.000Z", "title": "Non-arithmetic hybrid lattices in $\\mathrm{PU}(2,1)$", "authors": [ "Joseph Wells" ], "categories": [ "math.GT", "math.GR" ], "abstract": "We explore hybrid subgroups of certain non-arithmetic lattices in $\\mathrm{PU}(2,1)$. We show that all of Mostow's lattices are virtually hybrids; moreover, we show that some of these non-arithmetic lattices are hybrids of two non-commensurable arithmetic lattices in $\\mathrm{PU}(1,1)$.", "revisions": [ { "version": "v1", "updated": "2019-05-29T02:47:19.000Z" } ], "analyses": { "keywords": [ "non-arithmetic hybrid lattices", "non-arithmetic lattices", "hybrid subgroups", "mostows lattices" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }