{ "id": "0801.4234", "version": "v1", "published": "2008-01-28T10:40:44.000Z", "updated": "2008-01-28T10:40:44.000Z", "title": "Solvable Subgroups of Locally Compact Groups", "authors": [ "Karl Heinrich Hofmann", "Karl-Hermann Neeb" ], "categories": [ "math.GR", "math.DG" ], "abstract": "It is shown that a closed solvable subgroup of a connected Lie group is compactly generated. In particular, every discrete solvable subgroup of a connected Lie group is finitely generated. Generalizations to locally compact groups are discussed as far as they carry.", "revisions": [ { "version": "v1", "updated": "2008-01-28T10:40:44.000Z" } ], "analyses": { "subjects": [ "22A05", "22D05", "22E15" ], "keywords": [ "locally compact groups", "connected lie group", "discrete solvable subgroup", "closed solvable subgroup" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }